{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8b35edaa",
   "metadata": {},
   "source": [
    "# 信号采样"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04acc017",
   "metadata": {},
   "source": [
    "构建信号x_a (t)=sin⁡(2π*150t)+sin⁡(2π*3250t)+sin⁡(2π*400t) ，并用f_s1=680Hz,f_s2=900Hz,f_s3=1000Hz的采样频率对 x_a (t) 进行采样，分别画出时域信号和频域信号波形。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ae507e28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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fT0KKTKSyvM9qKeXqvLyTiigNTmF21PVQ3eEG4NmdY13+DyIRyWOqIvvX5loikcmt3O31BPjVmkNsq+3m/o01k9qWieJva6vYVd/Lz18+iD8Uc5bHhOENhHl8m2JoH9lyfE66ZqB31fdS1R7vm74GBgpGFaXBmNlY1YlJwAXzco8rgjvS1kd7n5/z5ubQ5Q5wuHVyFdN7lZ1ICWkOC+8emf4Zh0hEsu5IO8k2M33+EHsa4iZjJoQddT0EwhHOmZ3D4dY+uvpHXdgFgHBEsq2mm0sWKE70lurjmj5n8B+IYeAMxszuhl4WFqZzzpwcmnq9OL1jm09+qEWZj/v/zpsFwJ7G3vFq4pjY19iL3WLi5nPLOdLWR59ven+XsqHHQ5c7wP9eNg+A7bWTaxi21XZjEvD58xV5ONDsGuUIhbouN95gmKtPKyIvzc6u+t5xbKXBdOC4DJyU8uJxaofBFOBYez8LCtNYVJgOwOGWsSmmQy0ubBYTF87PI9lm5sgkR3B7G50sLk5nxcxMpISjbf2jHzSF0e73WbOyKclM4mjb5N7/yrY+ynJSOGNWNjB2A3eoRWn34qJ0FhSkUWmkKA1GwYjgDMZEny9Is9PH3PxU5uanAlDd6R7TsUfa+plfkIrVbGJ+QRqHW8em0MaLqvZ+FhamMSdP6cexjult4DSDNq8gjXkFqZNu0I919DNHrYLMTbVRO0Y5qmpX2q3JYFV7/6SP5xqc2hgGzmBMHFOLS+blp1KU4cBsEjR0e8Z0bEuvl5LMJADmF6Tq55oMfMEwXe4AxRlJlGYlYzOb/gMMXD+lWUmk2i3ML0jj2CQahlA4Qm2nhzn5ypTaspwU6rrHJg8d/T6ykq04rGbmFaTiCYRp6vWOZ3MNpjiGgTMYE9WqEZiTn4rFbKI400Fjz9iUS0e/n7w0OwAzs5Pp6PPjDUxOJV+7SyloKFSNdFlOMsfaJ8/gTgTNvV5KsxQHY2Z2MoFwhPa+sRV2JJqGHi+BcESPnsuyk6nvGpuj1O4akKPynBT1fGM71uA/E8PAGYyJFqcyX0yLxGZkJY9JufhDYXo9QfLTHMpx2ckANE6SYmpxKka5KEPpR2lWEs3TPApo6/NRmK7cf83QTdb9r+1SnIlZuYqBmpmTTIvLhy84usMT7SgN9GN6PzuDk8MwcAZjornXS3aKDYfVDKgGrnt05dLZHwAgX1VMmoGrH2N6M9G0qhO7CzMUhV+cmaQbvemIlJI2l5+CDM3AaQ7G5PS5pVe5/8Wqo1SSmYSUA5H1SHT0+XVHqSgjCSEMA2cwMoaBMxgTLc6BKAAUA9HZ7ycYjox4XLtqUDTPe4aqYMc6fpdotEg02sD1eIJ4AnE/Izal6fEECYQip0wE1+L0YhJQoMpDgdqu1lFWlJFS0t43EMHZLCaK0h2T1g+DqYFh4AzGRHOvl+LMAQOXn64oms5RJul2qGM9muedm2ojyWqmfgzR33jQ6vSR5rCQaleWYdVSrs2903PJrlbNoKuGxGE1k5tqn7TIp7nXR0G6A4tZUT2aozHakmkuX4hAKEJeql3fVpqVbERwBiNiGDiDMdHi9OnjVjBgsEZLLWnFDJrnLYSgONMxaWnBFqeXoowBQ12sG7jpqSg1w5EfFX2XZDomrfqwuXfw/dciuNEMnO4opUcbuCQaJykTYDA1MAycwah4AiGc3iBF0RGcarDGopiEgJxUm76tMMOhpwonmlanj8IoQ61FpdO13LxtyJgjKEZlLGNe40GL00tR5sD9T3dYcFhNeqQZj/Y+NdUdFcGVZCXR6vIRGiVNbvCfi2HgDEZFM0bFUYZB87xHKzdv7/OTnWzDah4QtcL0pElbxb/F6aMo/fgjiKlKq8uHEAMOCSh9buub+P5KKWlx+iiOMrZCCArTHbSNIkcdQzIBoETfETm6DBr852IYOINR0SrfolNLuak2hBhduXREFQZoFGU4aO/zE57gycbBcISOfv+gaMZqNpGTYpu2SrLN5SMnxT7IwShIt9PrCY6pND+RdLsD+EORQaluUNKnbaNEcEPHcmH6p5cNTh7DwBmMSvOQuWMAFtUwdIwSCXT0+YYZuIIMB+GIHLVAJdG09/mRcrChBiUqaJ+uEZzTR2HG4Puvjcd1TLBR1zMBmYPv/1giyo4+PzazifSkgW80l0zz9LLByWMYOINR0SK4giGKMi9t9LGc6LlLGlqKcKLH4VpURVg4xMDlpzumbQTX6vJTkDbcoMDEp2W1SGtoBJebaqNLnS8ZDy0TEP31b+0807UC1uDkMQycwai0OL3kptqxW8yDtuen2Uc0DFLKQatPaGgGpnWCKyk1gzosRZZmn7Sii/GmzeXTJ3lrFKRrBUKTE8EVDYngclPt9PtDI6ZMY8lRit1CRpLVSFEaxMUwcAaj0uz0DUsrgVIZ2e2O73n3eoIEw3JQgQNEG7iJ9bxbh0zy1shPs9PZ7592K9P7Q2G63YFBE/QBPaIbbXJ1oml2erGaBbkpg+UhV62w7RpBlqLXoYymOHP6L7VmcOIYBs5gVFqHzB3TyE1VDIOUsQ3D0DlwGtnJNmxmEy0TrGBbnD6SbWbSHZZB2/PT7IQikm7PyGmyqYa+sPQQA5eZbMVmMU34uGNLr4/CDAcmkxi0PUc1eJ0jZANiRXAwuXP6DE59DANnMCotvb5haT2AnBQb/lAEd5wvAwxUvg1WTCaTID/dPmrlXKJpdXkpzHAMGseBgaKL6Zam1MbYhqYohRAUpNsnfAyu1RlHjvQILvb9D4YjdLsDw+QItLVEjTE4g9gYBs5gRPp8Qfr8obgRHAx43pEhlZH65NwYiqloEiZ7K6uxDO+HpjjbJ2Fu2HiiLyydPrzPBWmOiR+Dc8XPBMDAwtygOEdaZkCTqXgpSqc3SL9/eq4lanByGAbOYEQGCgNG97y/9+xezvjlW2yo7ASil1cartQKM5ImfAyo1emjMH14P/Rlx6ZZJaU25liQPtwwFKQ7JjSCk1LS5vQPG/+EKDlSDdxLe5o545dv8ZvXDgNRk7xTYxs4GKiQNTCIxjBwBiOiDeAXj+J59/mCPLOzESnh0a11gGIwkqxmUmzmYcdqEVy88btEE1I/8hkzglMNwETPCxtv2vv82C0mMpKsw/5WkO6g1TVx97/bHSAQjsSMJpNtFpJtZj1Se2SzIj+PbqknFI6M6CgZc+EMRsIwcAYjMqYIrj/A1upupFRW599a061MEejzk59uHzbmBYqBC4QiI1bOJZLO/gDhiIwZQTisSuHJdJvsrUzyHj7mCFCYYccTCNM3Qam9gSkaw+8/KM5SV78ftz/EzvoeSjKT6PeHONjiirlMl0bxNP8ahMHJYRg4gxFpcfowieGFIgDZKZqB83OoxQXA584rp9sdoNnpo73PF/M4GJiL1jJBimngS96xFex0nOzd6vLpk7qHok/2nqBx0IFFn4c7SqA4S13uAEfb+ghFJP/v/FkAHGx26c8lN2rBbo38NAdmkzCmChjExDBwBiPS0uslL23wWoYadouZNIeFLneAqo5+SjKTOK0kA4Cq9v6Y61Bq6N9hm6DJ3vHmwGnkp018VeF40+byxUwJwoCDMVHjoKNFcDkpdjr6/BzrcANw0fw8HFYTlaocZSZbhy00AGA2KYs1GwbOIBaGgTMYkaHfgRtKnjoXrqq9n7n5qczNTwUUA9ceY5kuDW01i4kqDoi3ionGaKuyTDWklLQ6fTELTGCgsnKiKllbnT7MJqGP2w4lL02J4I519GM1C8pykpmbn8rRtj7FUYpzHChrWxpjcAaxMAycwYg0O70xVzHRyEm10dnvp7rDzdz8VHJS7WQkWTnc4qLPF4obweWk2LBZTOOqYL2BMF51jl6ry4fNYiIreXjBBQykKKWUvLa/hev+vpFNxzrHrW3jwWv7W7n27xvZWNWJyxvCH4rETVFqhTVaitIbCI/r1wVaXUq62mwaPh4ISgTX7Q5Q1d5PWU4KVrOJspwUGro9tMdYsDsaYy6cQTwMA2cQFyll3EneGjkpdqra3XiDYUqzlP2KM5PY09gLxC4MAGWycVHGgOctpUzoUlm1nW7O+c3bXPKHdXS7A/ocuFgFF6BEcIGQUrF36wv72d3Qyw+e2zdllu/yBcP88Pl97Gno5ccv7KfFFXthaQ2H1Ux2io1Wl4/6Lg9n/1q5V4n8wkMkIvUqTa3gJR45qTbCEcn+Jidl2ckAlGYm0ez00RZnmS4NxcB5p8yzMpg4DANnMAyXL4iUEqc3iDcYjjtuAgMRHAyMr5RkOjja1g/EN3Da/i1OH95AmGv/vpEzf/U2R9v6EtKHO9ZW0esJ0ury8fi2elp6vXHHo5S2KMb5xd3NdPYH+ODyYuq6POyo70lIe8abtw+10+0O8IFlRVR3ull/VIk+R3JOCtIdtDp93LehGqc3SIvTxz/X1ySkPdtruzn99je46b5thMIR5UveI8iRlrpsiTKExZlJBEIRmnq9cYuVtP2CYamvJ9rnCyakDwZTH8PAGQzi7nePsey2N/jq47v00usRI7iosRGtQq44akrBiIopI4mWXi+Pbatnb6OTzn4/P3/l4Am12+kJ6h9QDYYjvHGglY+tnsHpMzJ542AbLU6fXtgSC21M8JW9zZgE3Pr+RdgsJt482AZATaeb7z6zR/99snl+VyM/eG6vXjyzubqTFJuZb1+xAIAXdjcB8Ys6AArT7bS6fKw90s4Viwu4bGE+L+5u0iOhQChyQsZCSsmPX9iPyxdiQ1Una/a3KoYrxiR7jZyoCknNEYmWo5EcJW0uXEOPl0/ft5XlP3uDpyoajrvdBtMPw8AZ6Dg9Qf705lFsFhOv7G3h5b3NAJRkxVdM0aXbmjKNNoijpZba+vy8uq+FxUXpfOfKBayv7KSuS6mk21DZyW0vHaCqvV8/xh8Ks/lY16ClmR7eUsfpP3+DD96xAbc/xO6GXvr8IS5ekMd5c3PY09BLU693kMIcitb2PY1OFhSmU5DuYMWMTLZUdxGJSL74cAVPVTTypUd2UKlGmb5gmCe21bNrnKO8zce6eGZHI8FwBIBtNd1848k9PL6tgW8+tRuALdXdnDErm7KcZLKSrRxodmESI9//wgwHB5pdNHR7OWdODu9fVkSL08f+ZicdfX4u/9O7rLj9TV5R5QCg1xNga3UXIbUtAPubnPz0xf3sqFPuw4FmF4db+/jV9aeRn2bn4c11eAJhZmSPJEfRjpKWCRibHGny9uCmWjYd6yLJaub2lw/SO80WzzY4fgwD9x+MljrSxkme3dmIPxThkc+fhd1i4q51xwAoz0mOe46cqE+faEoquiglJ2UExZSpfNl7R10PlyzM44aVJQC8vKeZg80ubn5gGw9uquWT927B5QsSCkf49D+38ol7t/ChOzbg9AZp6vXyi1cOMicvlYMtLu7bUMP6ox2YBJw7N1eftqC0a+RqUK3+YVFRGgBnzc5hf5OTV/e3cLStn59+cDFJVrN+X/7nsV18/7l9fOTuzWyr6Qagorabq/78Hp9/cDtOrxL9dPX7ue2lA/zxjSN6IYfLF+RXrx7i168e0o11i9PLJ+7Zwof+toEjrYoRff1AK5+4dwvffnoPP3lxPwB3rK2kMN3Bty6fz6ZjXbx7tIOq9n7Onp2DEIKlap/jTe/QiI6oVs7M4oJ5eQBsrOrib2srae71UpqVxK0v7MflC9Lm8nHFn97jY/ds4cuP7tQrNT9xzxYe2lzHZ+7bSlOvl9cPtGIScNXSQi5ekMe2WuXezMyOL0fRBq5IzwQMyFG8alxlP2X/l/c0k5Ni48kvnkO/P8TTFY2AMhbY3GuM0f0nYhi4/yCiX/BWp49r/rqec369llse3kEoHOGxbfUsn5HJmbOyWVWWBUBGkpXM5OETbDWiIzitQi56rCte1RwoKUqN1eXZFGUksbw0g7cPt/Pnt46SbDPzr/93Jh39fv75XjWPbKlje20Pnz2njJouN39/p4ontzcQCEd48HNncNH8PB7dWse7Rzs4fUYmGUlWXdnD8A9tRmMxm0i1K5/RmZOnTHU4e3Y2EQk/ffEAGUlWPnVWGdeeXsyr+1t4bX8Lbx1q40sXzaEg3cFtLx2g1xPgy4/upLM/wHuVHfzgub2EwhFueXgHD26q5a9rq7j1hf1IKfnqY7u4571q/vFeNd94cjdSSr72+G52N/RS3+3hS4/swBsI87OXDrC4KJ1PnjWTJ7Y3sKmqk41VnXxkdSk3nVOG2ST4qWr4zp6dA8C8/LRhzyEWhVFfaJ+bn0pemp2FhWm8ebCVJysauO70Ev76iRX0eoI8t6ORX796CKc3yCfOnMmbB9t4dV8rf3m7En84wqNfOItgWHLXuipeP9DKmbOyyU6xsXJmln6NGSMYuMyo5cS0dkUvMTZSBJfusOjLwV28IJ+lJRmsLsvi8W31+IJhPn7PFs79zVo+fPemQVGdYfCmP2MycEKI+4QQm4UQt453gwyOD08gRE/Ucle+YJhX9jbz8OZavUJxW003l/7fOubfuobvPbMXXzDMt57eTWOPl0+dpSirrzy2k6r2fj515kwAzpqlKMucGKtHRJMTY35SrDUDYxGdslpclA7ApQsL2FXfyxsH2/jEWTO5cH4ely3M55Gt9fzjvWrOKM/itg8t4UPLi3lkSx3/2lzLBfPyKM1K5voVJbS5/OxpdOrRSHSaa6QxOABfSEm7zcpNAWDFjCzMJkGXO8D583KxWUx8eFUpvmCELz2yk6xkK9+4fB5fu2weB1tcfPXxXXT0+Xnwc2fw1Uvn8eq+Vn7x70PsqOvhjx9dzpcvnsMzOxr545tHefdoBz/94GJ+cPVC3jzYxs9fOcS22m5+/IHF/Oljp1PT6eaWhytodvr4xuXz+c4VC7CaTXzyn1uJSPjQ8mIyk22sKsuitstDis3M0mLlHpbnKoZkJOcCGDSFIEU17ufNzWVnfS++YITrV5SwrDST5TMy+cvblbyyt4XPnFPGL65bypy8FP745hFe3N3EdacXc97cXD6wrIhHttRztK2fK5cUAnD6zMyB550V38BFfyNOG8uNrngdaR5c9H7a9W5cVUp1p5vP3r+NbbXd3HxuOQeaXHzrqT24fEH++9EdzP3Rq1zzl/Xsb3ICUN3Rz4Mba3jjQKs+ngtKBO6N80kog1Mby2g7CCFuAMxSynOEEPcLIeZJKSvj7R+RknaXD18wQqrDQrrDgi8Uod8XwhsMk2q3kJ5kUQewQ3gCYdIcFtIcFkIRicsbxBNQ9kt1WJBSGRvq94dIc1hItVswCUGPJ0CfL0SK3Uyqw4LVZKLbE8DpDSrH2i3YLSa63QF6PEGSbWYykqw4rMqirt3uAEk2M+kOK6l2C539fjr6lcWB0x1W0pMsdPT5aXP5cViVBWszkqx09PlpdfmwW0zMzU8jO8XGoRYXDd0ebBYT8wvSyE21c7DFSXWHG6tZ2VaalcTeRidH2vqwmAQLCtOYnZvCrvpe9jb1YhKChYXpLCxKo6K2m+21PUgpOaM8m7Nn5/Dq/hbeOdxOMCw5b24OVywu5Int9bx+oI1wRHL6jEw+eeZM7l1fTaU6ZvWLfx/i8sUFvHWojcJ0Bx9eWcqTFQ08qQ7A//qG0/j4GTOo6/Lw+oE2bBYTH1heBMDSEkVZ+kZ5sWMvnxRfGUUT7dFrx1y2KJ8/vXUUUJQ4wE3nlPPWoW0A/PCaRQghuOnsMl7c3YwnEOYjq0oBuGRhvn6+C+crBi5a+Y1UcAFKUQXA7DzFwCXZzNjMJryRMBfOywVgxYxMUu0W+v0hPrS8GLvFzIdOL+bnrxxkfWUnF8zLZWlJBuW5Kdz7XjUPbqplfkEq151egi8U5sntDdyxtoqSzCQ+fXYZUsK/Ntdx/8YaijIc3LiqFKtZcFpJBusrOynNSuLShfmYTYLLFxXw730tzMtPZV6BEqVdvCCPbTXdzM5LxaKmI8tzlPb7gpGhXRxErJTtuXNyuG+DUkl5xqxsAD66upQfPa9EiZ84cyZmk+Az55Tz05cOAPCps8oAuG5FCc/tUopbrlAN3OzcVP3cSTEW3Y6FFklHkxln/qKG9k1CLSV99WlFfP+5fWyt6eb6FSXc9qElzMxO5vZXDrLstjewmASfOHMmaw+387F/bOaKJYVKgY1q1xYUpPGZc8t4eHMdh1v7sJlNfGBZER88vZhX9rRQUddNktXMxQvyuXRhPluqu9jd0IvNbOKs2dmcPzeXnfU97GtyYhLK8zx3bi4HmpwcaFaWtZudl8L8gjR6PUEOt7qISJiVm8zcvDSc3iBH2voIRyLMyEpmdl4qfb4gle39hCKSogwHs3NT6PeHqO50EwxFyEuzMyc/lX5fiNouN6Gw1HVcktVMl9uPNxgm3aHoMrvFRHufX9fLaQ4LdouZHk8At65vlY/j9noCuP1hUh0WUuzKe+Hyhuj3qzrYbsFqMdHvU7ZpetRsFrj9Ifp8IbUtiv72BMK4/SHsqm41CWU/TyCMxSzITBrZsR4roxo44GLgKfXnN4DzgbgG7kCzizN/9fbJt+w/iHTVkPf56/Rtc/JSMAnBW4faATAJuGBeHnaLiacrGnlkSz3JNjOfP38WGUlWHt5cx3ef3Utemp1/fmY1c/JT+cmL+3llbwvzC1J57L/OJjfVTkGGg7++XclZs7L5+BkzEELwxYtms6Gqk/Pm5JBsU0RikRpRjZRWUtquKJ7oCdRaNBBnyplO9NJLmiFaokYhMBDVnT83V9+mRQZaChXg8sUFwOCU1vLSgdSkRppjZCU5IzuJhm6vbiAA5heksqfRyfnzBgzmipmZrK/s5PqVimF1WM1cOD+Pf+9r4eZzywFFSV+5tJBndjTypYvmYDIJkm0Wrj29mAc21vJfF8zSx8c+srqUP79VyafPLsNmUbbduKqUfU1OPrS8WI/ErjmtiH/va+GcOTl6+1apKcD5qsEDBs1HHAltv+gxVs2oZSVb9fZds7SIHz2/H5OA2Wr69vqVJbqBW6be63Oj2qVFy1p/TpZ48xc1tK/LLyxU7kNGkpXZeSlUd7i55cLZANx8bjkPb6mjptPNTz+4mJvOKafV6eP6Ozfy/K4m3reogJ9+cDF7G538es0hfvT8fspykvnhNQtp6vHyxPYGntvVRLLNzMUL8nB6g/xzfTV3v3sMIRSj6AuGee1Aq96ujCQr4YjkX5vrBrVXCJigDzn8RyNG+1yGEOI+4K9Syj1CiCuAlVLK3wzZ5xbgFoCcklmr/vzMO9gtJvr9IVzeEEk2E6l2Kw6rCbc/hMsXwmoWimdhM9OvWniLaWCb2x/SB98zkqy619zvDxGOSLKSbaQ5LLgDIfp9IQJhSXaK4pm4/WH6/SF8wTA5qXaykpVtfT5lXldOip3sFBveoHLdPl+I3FQ7eWl2/MEwLl8QpzdIToqdwgwH/lAEpzdArydIdoqN0qwkvIEIh1pduLxBFhSmMSs3BV8wwpHWPjr7/SwoTGNhYRr+UITDrX009nhYVJTOspIMgmHJoVYXx9r7WVKcoRc11Hd7ONjsUqK7vIElr7bXdnP+3Fzd2Dg9QTZUdXJGeZaeDnR6g7x5sI2LF+TpA/aRiOStQ22cOStbH0cLhSM8t6uJyxcVkKUuliyl5MntDVy+uGBQyvHF3U2cMydnxAF+gDcPtrGwMG2QMXznSDvlOSl6ui8em491kZFkZXGUYdta3YXNYmJF1PhNRW034YjkrNkDSnR3Qy9uf4jzogzgwWYXXW6/nqLU7mFjj4eLFwxEeLFo6vWyr9HJVUsL9W2tTh9ba7q49vQSfVtHn591R9q5cVWprnh73AHW7G/l42fM0NNtTm+Ql/Y080k16gFw+0M8u7ORT5w5UzcgvmCYpyoa+OjqGTisitEPhCI8sb2ej6yaoUc+4Yjk8W31XLeiRI9ytGd3zbIi3dkAeG5nI5csyNefcTzW7Gth+YzMQcbwtf2tLCpKoyzK0L9xoJVZuSl65AjwzuF2CtIdg57dxqpO0h1WTotyMCpqu7GaTSyfkTliWw40O+n3hQY9Y+19in7GsajrcnO0rV93dgAauj3srO8Z9OxanT62VHdx7enF+rNr7vXy7tEOPrKqVI+CfcEw6450cNH8PP3+tzp9bKjqHPSOdbsDbKzqZFlphn6/jnX0s72mmyXFGXomZG+jkx11PSwsTGN1eTYSSW2nhyNtfaTYzCwrzcRsElR39HOso58Uu4UlxRlYTIK6Lg+1XW6SbWbmF6Rht5ho7PHq2+bmp2Izm2l1+ahWjy3PScFhNSlfjPCF8ARC5KTaSLJacPmCuLxBfKEIeak2km2qbvWF8IXCZCbbSLWb6fOFcPuVFW6yUqyk2FR96w/jD4bJSLKS5rDQ7w/T7wsSikhS7RZS7Ba86pcqwpEIKWpGzRcM4/QGiUhIsZlJsSuZvF5vkIiUJFuVbaGIpMcT4CuXzNshpVw94oMfhbEYuL8Aj0spt6jpyoVSyl/F23/16tWyoqLiZNpkYGBgYPAfjhDipA3cWFKUO1DSkluA5cCREXfesaNfCDHiPlOEXGBqLUYYn+nSF6Mfpx7TpS/TpR8wffqy4GRPMBYD9wKwXghRDFwNnD3K/kdO1uqeCgghKqZDP2D69MXox6nHdOnLdOkHTJ++CCFOOhU46giwlNKFUmiyBbhESuk82YsaGBgYGBiMN2OJ4JBS9jBQSWlgYGBgYHDKMx4rmdwzDuecDKZLP2D69MXox6nHdOnLdOkHTJ++nHQ/Rq2iNDAwMDAwmIoYa1EaGBgYGExLDANnYGBgYDAtOW4DJ4QoEEKsH7Jt2GLMY9022QghviyEWKf+2y2E+IcQwiKEqI/afpq67ynX/miOp92ncl+EEBlCiDVCiDeEEM8LIWxT9ZkMZaq1F+I+jyn3LGLJ0FR7NzRi6K37ptozGWpLxsOOHJeBE0JkAQ8BKVHb9MWYgdlCiHlj3XY81x4vpJR3SSkvllJeDKwH7gWWoazecrH6b9+p2v4hjKndU6AvnwL+KKW8AmgFrmLqPhOdqdbeKIY+j+8zNZ/FIBkC5jH13g0gpt76B1PomQy1JeNlR443ggsDHwNcUdsuZvhizGPddsoghCgBCqSUFSiT2T8ghNimegsWTvH2q4y13bG2nTJIKe+UUr6p/poHtDN1n0k0FzO12gvEfB4hpuazGCRDwPuYYu/GUDS9Baxmaj2TobbkYsbBjoxo4ISSrtNC3nXA12NM9E4BmtSfu1Fu9li3TThD+ySE+In6p68Ad6k/bwfeJ6U8E7AC13CKtD+aGM8nj7G1+5TqS7xnIoQ4B8iSUm5hijyTUZhq7R2E9jyAN5maz2KoDF3NKf5ujAFNb02p90NK6RpiS8bFjow40VtK+cUxtLUf0JYiT0UxmmPdNuHE6pMQwgRcAvxI3bRXSulXf65ASWWcEu2PZmhfhBD2Mbb7lOpLnGeSDdwBfFjdNCWeyShMtfbqDHkerVP0WQyVoes5xd+NkRiit2xT9JlojIsdSUSHtcWYQVmMufY4tp0qXABslQOTAh8WQiwXQpiB64A9nNrt1xhru0/pvgghbMDTwA+klNqHtKbqM4lmqrUXiPk8puqzGNrurzDF3o0hROutqfpMNMbFjoxpqa5ReIHhizHLMW47VbgSeC/q99uBxwABvCSlfEsIkc6p236Nsbb7VH4WAJ8HVgI/EkL8CCUFM1WfSTQvMLXaqzH0ebwDPMzUexaDZIix665TlWi9NdXfjxcYBzuSkJVM1IqYy4H3pJStx7NtKjFV2z8dn4XGVOvHVGvv8TAV+zad3w2YWn0ZDztiLNVlYGBgYDAtOZUHHQ0MDAwMDE4Yw8AZGBgYGExLDANnYGBgYDAtMQycgYGBgcG0xDBwBgYGBgbTkkTMgxtEbm6uLC8vT/RpDQwMDAz+g9ixY0enlDLvZM6RcANXXl5ORUUFAP5QmLvWHeOKxYUsLk5P9KUMTmGe29lITaebb14+HyHEoL+9d7SDtw618aP3L8JuMU9SCw0mmj5fkF+9eogbV5Wyqix70N+C4Qi/e+0wZ5Rnc8WSwklqocFksKOuhy3VXXzpojmYTQO6QghRN8JhY2JcU5RPVTTy57cq+c4ze8bzMganGJ5AiG8+tYc71lZRUdcz6G9SSr7y6E7+tbmOV/e1TFILDSaDJ7c38Pi2Bn70/P5hf3vzYBv3rq/hK4/tJBwx5ub+pyCl5MuP7OD3rx/hzYNtCT//uBi4fn8IgE1VnQAcbHHR5wuOx6UMTkG21nTrP29UZaDV6SMYjtDQ7aVPl4+uSWmfweTw7tEOAA639uH0BvEFw7T3+QDYWq3IQjAsqWzvm7Q2GkwsNZ1u2vuUNaLXVyry0e8PJczJSbiBq2zr5+xfvU1lWx/7m52k2S1ICfubXKMfbDAtONKqKKjsFBtH2/p4cXcTZ//6bb708A72NytfyMhNtbOvaeiXlwymM4db+8hJsQFwtK2PT967hbN/9TbrKzvY1+QkN1X5295GQy7+UzjYotiFNIeFw6197KjrZuXP3+ST925JyPkTbuB8oTD9/hB3rK2iodvLB5YXA4qlHspr+1t5dOtJp1kNJoFAKMLf1lays75n2N+qO/rJTbWxcmYWR9v6ufvdagDePtzOmv3K0nFXLy2ktsvN0KXinJ4gf3j9CJVthhc/Fdnf5OSPbx7FGwgP2t7nC9LR59fH1x7eXMfO+l4iEu5dX0NVez+XLy7EbBLUdQ3XFRurOrlr3TEjfTkFkVJy34Ya1h1pH/a3mg7lWV++qIDKtj7ufOcYgVBkUBboZEi4gbOYBB9YVsRLe5oBOKM8C6tZUNc9WGibe7186ZEd/Oj5/exu6E10MwzGmce21vGHN47yhYcqhimd6g43s3NTKc9Jpqq9n0MtLm65cDYAL+9pJjfVzryCVHzBCB19/kHH3rG2kr+9U8W3n9k7YX0xSAxSSm75VwV/fbuShzbXDvpbtarILpyXi9kkeGlPM3aLic+cU8Z7Rztw+ULMzE6mJDOJui7PoGO9gTCfvm8rv33tMGv2G+O2U423DrXz81cOcvMD24cNVVV3uinOcLC4OB2XL8Tbh9v5+BkzsFsSY5rGfBYhRIEQYv1o+6XYLZw/N1f/vSQziRlZydQPEdq3Dw9Y89cPnNKLXBvE4PUDyoBwtzvAgebBKaX6bg9lOckUZjj0bTesLGFOXgoAJZkOZmYnA1DXPVgu3jyknHdPQ68+PmMwNTjU0kezU3lmbx8aXDBQrz7n2XmpFKTZATijPJtLFubr+xRnOijLSdb31dhY1YkW6L9xIPGFCAbjy5sHB/T7lurBkVltl5vy3BSKMpL0bVcuKWTFzMyEXHtMBk79PMFDKJ8LH5FUu4XlMzL134szkyjJStIFX2NfYy85KTaWlWawo254msvg1CUUjrCjvoer1HTTnqgIPByRdPb7KUh3UJw5ILRz81I5o1wpDS/KSKI0S/lbc69X38fpCVLX5eHKJcpX6HfUGnIxldheqyivq5cWsr/JRSgc0f+mFRIUpNvJSVUM3GmlGawqy9L3Kc5MoiQziebewbpib5MTk4D3LSqgojYxqSuDiWNbTTcXzc/DahbDhjTaXX4K0x2DnOGlJRmcNSsnIdceawQXBj4GjFopkpVsY25+qv57QbqDvFQ7nUNSUVXt/cwrSOX0GZkcaHIOG4tJJO0uH7969dB/xLjOO4fb+eW/Dw4bA0kkdd0eAqEIly3KJ91h4UjUfe1y+4lIyEuzDxJai9nEoiJlLqTJBHmpyt+iU5RVHcp5rl9Rgtkk9AHo8eKpigZ+//rhQYp4OuILhrn95YO8Ns7pvSNtfWQmW7l0YT7eYJiGngHnpb3Ph81sIiPJitOrpKlOK8kg3WHV9ynKcJCXZqfb7R+U9q5s66MsJ4UzZ2XR7PTR6wmMWx+cniC3vXSAzcemf4Xv/iYnv15zCKdn/CrcvYEwdd0eVszMpDwnhar2fv1vUko6+vzkpdspitIVeWl2vnTRnIRcf0wGTkrpklKOqbRJCLCaB05rs5jIS7fT0efXjZiUksr2fuYXpDEvPxV3IEybyx/vlCfN7a8c5J73qvn209N7Pl6fL8gtD1dw7/oaHthUM27XOapWSS4sTGdWbsqgMRPNYOWn2SlMV4TWok7eLFEjOqc3SHqSBZvFREf/wHOvbFOEf0lxBmXZyYNehkRT3+Xhu8/s5e/vHOPF3c3jdp1TgQc31XL/xhq+8tguetzjZxyOtvYxvyCN8lwl0VMbVSzS0ecnL82OEEJvw5Ihiz8UpDvIT7MTkYqjpFHZ3s/c/FTdcR5PufjL25U8uKmWrz6+k+A0dnwiEckXH97BP96t5k9vHR2361S19yMlLFDlIrrY0OkNEghHyEu1k6+mrTWSbIlZACIhI3lCiFuEEBVCiIqODmUuw9cum8dHV5cCkJ/mIBCO6J5btztAny/ErNwU5uQpQnusY3yE1h8K84463ren0UnDkPz+dGLt4XaCYcWJeG3/+I1rHm7twyRgXkEqZTmDDZyWispPt1OQ7uCKxQU8/PmzADh3bg4Xzs/jR9csRghBXqqdjijHpqbLjc1soiQziTn5qeOqyN4+PDCWM90nnL+6rwUhlPSxNhct0UgpOdLWx4KCNMpylPHV+iGOT56qxO6+aRVXLilgRpay398/uZKPri7Fajbp+7SrchGJSOq63MzOS2FefhowfgZOSskb6nhRZ3+AimmcIt/d2EuTOjzw6r6Wccugadmd+YVpzM5Nob7Lo0fnA7rCgcVs4pIFefz8uqUJvX5CDJyU8h4p5Wop5eq8PGXpsG9cPp/f3bgcQLfOWoda1PG4ogwHc8bZK6uo7cEdCPODqxcCsOlY57hc51RgU1UXmclWvnbZPPY2OnWHItHsb3IyOy8Vh9VMWU4yjT0ePc2nGaz8NAdmk+Cez6zmnDlKPj3ZZuFf/+9Mfdm2/HT7oAiuzemjIMOOySSYl59KTacbf2h8Uq3rjnQwOzeFT501ky3VXUSmafm5yxdkb6OTr102j8xkqz7xPtHUdXno84VYVJROXqqdJKt5UATX7vLreuC8ubn846bVmNTI/v3LinRdkZempq5Vuej2BAiGJUXpDkoyk0iymgelxBNJdaebxh4vP7xmIWaTmNa6YmOl0rcfXbOI9j7/uOnfA81OHFYTZdnJlGYnEwgPVE5HZ3sAHvjcmdx0dllCrz8hXxPIH+KVtbkUA6elJLKSrRxsHp/xlvWVnVjNgk+dXUaawzKtJxcfaHFyWsnAwP3+ceirlJJdDb2sVKucCjMcRKTi8cKAYsobknKIRV6qfdAYXKvLp6c1lxRnEIpIPW2ZSILhCFuqu7hwfh7LZ2TiDoSpjjFPczqgvVfLZ2SyvDRz3CZR72pQop2VZZkIISjKcOjvOyhykZ8+ukxoukKTi1bVGS7McGAyCRYWpXFgnHTFBlXpX720iLl5qdNaV+xvdjIrN4VLFioByXhN1dpV38uy0kwsZpP+bmv6X6uSHouuOFGOy8BJKS8+kYtoHehUlV+ra0BohRAsK82MOWE4EexvcrKwMJ1Uu4Ulxensm6YrqgRCEY609rG4OJ1lpRnA+AhtfbeHbneA02coRjRf9bg1YW13+UhzWHBYR8+h56UNNnBtLqX6EpQCBIBd49CHqvZ+/KEIK2Zm6vdq6FSH6YJmDJYWZ7B8RiaV7X14AqGEX2dXfS8pNrOeRsxLs+syEQxH6HYH9MKikchNHWzgop1hUOTiQJNzXMbHtNVUSrOSWFqSMS4O4qnCgWYXi4vTmZ2bSqrdMi6Ojz8U5mCzSy/5L1AdHN3AuQZHcOPBhERwWcnKEjw9avVTm9OHSSgePMC5c3KobO/XO54opJTsb3aytERJiS0sTKeyrW9cKzYni+rOfoJhyeKidDKTbZTnJLO3sTfh19lVr5zzdHUqyIDQaimloK6kRiMr2UavN4iUEiklLU6v7uXNyE6iOMOhp1ISiab0l6gvuEnAsXEc75tMDrW4yEuzk5dmZ3lpBpFxWjZvV30vy2dk6qvBF6Q7dJnQ3vscdSmukUiymXFYTXqlZEtUBAdwzuwc3IHwuDhvitLPQAjBgsJUOvsD41phOFk4vUEae7wsKU7HZBIsLUlnzzjoigPNLgLhCCtUZ3hoBNftDmCzmEi1J/yjNjoTYuDSk6wIAT2qsLS6fOSm2rGo1ZbnzlEmhm9L0PIsGk29Xno9QZYUK156eU4ynkB42OoZ04GGbmXAuDxHqWBbNk7pqL2NSk59foEydjo0guv1BMhIssY9PprMZCvhiMTlC+HyhvAFI7oiE0Jwzpxcttd2J9whOdDsJMlqZlZuKjaLidKs5Gmbomzo9lCuFn0sK80ESLjj4w+FOdzq0s8Pilfe3udDSqkbiczksclFVrJN1xVtrsHOsDaeuz3B8+H8oTCVbX16ZeesXEW+a2IsGzbV0QrtZqvVrstnZHKoxZXw8e69qhOiOcM5qXbMJqE7Pr2eIJlJ1mGf00okE2LgzCZBRpJV98paXf5Bc6QWFKZhNYuE59YrVa98YaGSNhkoX55+lZRNPUqfStQJ1KeVZNDi9CW8LHx/k5NFRem6c5KbakOIgQjO6Q0elyIDxSi2DklFAZxWkk6XO5DwKSSVbf3ML0jVo41ZuSmDCiKmE029Xn16Rp46dSPR491HW5XsgZZWBuU5+oIRXL4QvWqxU2bS6BEcQGaybUBXOAc7w5nJNmZkJyVcV9R2eghFpK4rZuUqTkFN5/SL7BvV+YklmUofTyvJUL7ikODx7n1NLnJT7XqWx2xSKqe1d/14dMWJMiEGDiAzyap7ZZ19ft0jA2Wu3ILCtISPg2ieirYs1CzNwE1Db72xx4vDatJXa9f6mkgPNBKRHGh2DlJkFrOJnBQ7HXoEp3hlY0ET7h5PkC51fDY6vblUvU6ix0KUpcQGFuWZlZtCbadn2qWuQ+EILU4fpWo5PoyPMdeKMaLlQiso6ejz0XucEVy0ruhyB4alvJcUKeNwiURbHkzLgMzITsYkoKZz+jnDjaozrK0mpOmKoWuAniz7mnpZVpoxKELLTbPp73qvNzBmp+dEmTgDF+WV9XgCZKUM7tiSooyEe2X1XR7sloG5NSWZSVhMYlqmHTRPXROmcl1oE9fXum4P7kCYpcUZg7bnptroUqsoez0BMpPH7qmDIg/dMcZptJVPErmiSSgcoanXy4zsgWXEynOS6feH9ErQ6UKry0c4IvWoHhS5SHQG40CzkzSHZdA9zUlR3rmu/oD+3o81dZ2VYtXH7Xo8AbKH6oridGq7PPp3JxNB/RBn2G4xU5KVlND351ShqddLss2sOxyaUU+k4+MLhqlq72fpkMn8Wck2ulXnpdcTJGO6RHBZyQNC2+0eLrRz81PpdgcSmlJr6PEwMztZV/oWs4mSrCQ9RJ9ONPZ4B3nqM7KTMAkl9ZIoqtXJ+HPyBy9JqoyZBPTxtDErMlW4ez0B3WOP9vJT7BZKMpP06yaCFqei9DVFBuj3LXpdzOlAkyrnpVmDjXm3O5DQOZI1nW7m5KUO8tSzUrTofOBaY1VmijOsHNPjHu4Mz1PHfxOZiWno9pBmtwySP2VdzOklE6DpigFnOMVuIS/NntD7WdflISLR5zlrZKfYdB3v9I4923OiTKCBs9HjDuINhPGHIsPSFbPVlearE5jzru/2DlJkoAitNl41nWjs8Qzy1O0WM8WZSQn1yjTPvzxnsIHLTlGKAlze4y8mAOhxB3WhzxoS/c3KTUloAYjmqc+IkgttUeimaabMGnUDN9BXLTWbyMikttOtp7k0NAe22x2k1xPEbBKkjbFaLitZGa+PRKTiDA+RJ60AJJGrH9V3e5gR5QyDIhdN09AZbuoZGJfVmJWT2NS1tiTXULlQ7ICW7ZlOY3BqilJLRWUPUWSz1SW7tO9GnSxSShpUoY2mOMZq5VMdtz9Ejyc4yFMHxRAlMh1V2+kmzWEZFn1nJlvpcQcGignGKLRadW2vN0i3O0Ca3TJoHVNQHJ+ajuEfRj1RhqaiYGCNzOnmrWsGO3oh21kJLrTyBcM0O33DnJ7oqUG9XqWydqzVclnJNiJSkQuXLzQs5V2Wk4wQsT+ifKLUd3uGOcOlmUm0unzTbjHuxh7PIKcHlHuaUF2hGsvyGI5Pnz9Evz+ENxge83DGiTKhKUp3IEy7WkEztGMzspKwmkXCvPUeT5B+fyimgWvr802rhVQ1RTbUKyvLSU5o2qG2S/HUhyoqJYIL0K16ZmMdOI6uru2NMS4LikLuS+D4WH23B4tJDPr+VHqShVS7ZRpGcB7y0+yDJt1rSjxRcqEVJpTnDn7PHFYzSVaz4vgcR+ERDOgGzYANdagcVrOauk5MHyIRxRmemTNcV0TkwMIU04E+n+I0lAx1hnNT6Ojz407QuGZNh5vcVNugr0XAwLPU5G+swxknysRFcGrHNKEcKrQWs4mZ2ckJG2+J5amD8rFNKQeWAJoONMVIRYHSd6c3iMuXmPGWmk73ME8dBjxurTor/XiUmVox1+0JxjRwA5F94uSiNCtJnyIAypy74kzHtEtHNfV6hymyJJuZ/DR7whYdj5eKAuUd71bH4I6nmEAzhtq548lFoiK4jn4//lAkpjMMTKuMj+bEDc32aH1PVH1CTVdsXaHpfS29PG1SlFpBwYBXNrxjs3JTE1YUEc/AFU/DdNTQsl8Nre+JUGb+UJjmXu+wlAMMFBRoz/Z4hFZLXfe4A7qMRKNNRk2UMmuMkbYGNXXtnD4yAcMLjzRmZCfTkKBx6HipKFDkoNcTPO4ITpMnzamJJxc1nYlJXcd1hmN8lHeq09gdO9szQ+1rohyf2k53bF0xJDqfNtMEtFBUK9GPlXvVPlefCKFt0IsJBj9I3cBNI2XW2OvFZjYNmlsIA15ZIoS2oVupipqVO1xhDhfa41BmqhJUigmGy0RRhgOLSVCXoBcv1lgLEPNL0lOZSETS3Du8mAAURa6tfHOy1Ha6yUkZnooCNYJTKzaPZ6xlaIpyaOERKH3o94f0tPjJoOuKIQ5iccb0Kz4aiOCGZ3tgwNifDG5/iPY+f9yoHk7MGT4RJtzAadVbsZRgWU4y3mBiltJq6PaQm2on2Ta4cksT2umkzBp7vBRnOvTPj2jMSKDQahNeR0o71JxAXj1d/cJzvDE4i9lEaVbSoG+LnSguX5AeTzCmgSvOTKLbHRiXhYgng/Y+P8GwHBbVgyIXzU4vgdDJj0PXxPHUYWD6yPEs3wboxlIrehg6nAHo35xLhONT3+1BCGKmc7NTbNPKwDX2KHODc4esC5qdYiPZZk5IZD9S2npotmfajMFpQlvX6SEjyaovvRONpngSJbRDozeYnkLbFCcVlZFkJSPJmhBvvXYkodU87g43aXZLzGcbj4wkqzK4HQjHTEUBzMxJoa775FOUQ1e2iaZkmo23NPUOXrotmhlZSUiZmNRbXZcnptMDSnTe2edXKyHHrsg0pVc7QgQX66OqJ0p9t4eidAd2y/AvYJRMs6kC2rjs0EIxIYQa2Z/8/dTT1nHG62FgcfNpF8H1+UNxFdnAHJ3ECG0sRQZQnOmYXnn1GPNaNGZkJyUkgqvrdpORZI2ZatJWH+nzh457ZYKMJCveoLLIa6wIDqAsO5m6rpNPXQ+krWMYONUQNE6TOZJascDQtBskLh3lC4Zpdfn0xZyHkpNqxx1Qnu3xpK1tFhNJVjPeYBiH1USSbbjhKc1SpgokQlfEmk6kUZKZNK2c4ZF0RWlWYlLX2jMpiyEXVrMSPboDYcwmMa5fEoCJjOCiBDyeIivJVFbfONlJqMFwhObe4ZO8o68zXVYz8QXDdPb7Y6aiQB1vSYDSruvyxBRYUL7Une5QBPV4PbLoFEWsMThQXpQ+X0hf3eJEiTXJW6NUN3DTQy60fhTHGoPLSYyB04sz4shF9Py7E3F8IL5MOKxmCtMdCYnsR3KGS7OSaOyZPuuUNqmrmMRiZnZiaiDqu5ThoZQ4xkv7AsnxzI08USbMwEVb61gvHSieW3Fm0kl7Zc29XiIytiIDmJGVPEhoI5GpJbxSSn0enz4HLo7QzshKprHbe9J9VAxc7FQUDDzT462Kii5OiHf+RKWu67s9etp2KAVpDmxmk+4MRCJyyk3wDYYjukw39njJSbENG4OG4X09UbQUYrwUZXSkcLxyoT2jeON7oCrkk9QVvmCYNpc/roGbkZ2MLxjR52FOxfmz2rvvCYTocgdiDmeAku3xBsN0nWThTl23O64zDAPfkBzvZbpgAg0coC+Oeq76TadYlOUk64rsnSPtfPqfW9lYNfJHL0PhCP/7+C6u/st6Gro9uoEcTWg7+v38/Z0q5t+6hgc31pxIlyYcKSXfeWYvi378Gq/tb9HHB+KnKJMJhCO09/nZVNXJ+b9dyx9ePzLqde7fUMOH79rEfvXryU29Xsri3E+AVWXKRw0d1uMTqejIXvtUyVCil5fyBcP87+O7+NLDO0ZdbLeitpsLf/cOv3jloHp8fE/dZBLKOqXdXrrdAS78/Ttc8Lt3psx8yWMd/Zz5y7e4+i/r8QRCw5Zui8ZkEpRmJSmVsRHJN5/azaX/t47DrSMvat3V7+fmB7bxg+f2EY5IPYKLp8yWlg4syn28EVxYNdRnzx6brth0rJPr79zIMzsaRzyvlJJbX9jHJX9Yx/4m58C4bJw+aNFOQ4+Hx7bWM//WNfx6zaHj6stk8sc3jzL/1jU8vq1eH5aJpyuiU9eHWlxc9n/ruPWFfaNGdK/tb+Gm+7ZSoX6jr67LM6Ku0L4bGIyMv7MwoQZO47KFBXH/VpaTQn2Xm35/iK8/sZsNVZ38z2M79Rn2UkrWHWnnaFuffszzu5p4aU8zh1pc/OGNI7rQx3vxtOKTfY1O/vJWJaGI5HevH5kSX+891NLHMzsaCUUkv3/9iJ7OjRf9aFFsXZebW1/cT2OPl7+9UzXoEzQbKjvZUt2l/36w2cXtrxxkR10P33t2L009XmWB4hG8siuXFALHP18tTU1tlmQmDasC1dBfvC4PD26q5aU9zbx2oJU71lbq+zT3enl+V+MgOfnes3up7/bwzw017GnoVT+TE78PWjrqwU21NPZ4aXH6uGtd1XH1Z7L429oqejxBDrf28fyuphHTbgCl6lSBdUfbeW5nE9Udbn764gH9705PkGd3NNLZP1DR/KtXD7PuSAePb6vnxd1N1HV5SHdY4k4BiI7Oj7darkotQrh88ci6oqPPj9Mb5DtP72VXfS8/fG7foDGzdUfadcULsO5oB49sqaem083tLx8ckzMMSrT6u9cPIyXc+171lPjKQGe/n7+tVfXba4f1exo3sxU1rehXrx7iWIebR7bUs+5oh77PvkYnm44NBBztfT6+9sRu1ld28rUnduP2h2h1+UbUFVctLVSvM/7DARNq4L540Ww+ceaMQR87HUpZdjI9niBPbKvH6Q3yo2sW0eMJ8tKeZgDuevcYNz+wnQ/8dQOH1M+o/GtzHfMLUrnp7DJe29/KkVYXNouJgrTY15mhhuiPbq0nEI7wsw8twRMI8/rBVkD5ivADG2tOicHlvY29PLixRo9W1uxvwSTgW5fP51iHmzcPtZNkNeth/1C0F/eNg21Ud7j5wdULSbaZeWxbPQAv7m7i0/dt5eP3bOGNA0r/H9pUS5LVzHevWsCBZhf/3tcCMKJXdt7cXN63KJ9vX7HguPq3uCidM8qzuPczq+Puk2RT+lfX7eGp7Q2cPTuba04r5IltDfiCYfp8Qa77+0a+8eQevvLYTqSUbD7WxbEON7dfuwSH1cTTOxpo7PGOYuCSaejx8tbBNs6clc21pxfz4p5mPS31+oFWnt3ROOkp7UAowmNb63lPVTz+UJi3DrZx46pSZuel8MqeFhp7vHFThwAz1eKjV/a0kJFk5TtXLmBrTTdV7f2EwhE+c/9WvvX0Hj5+zxb8oTBd/X5e2tPEZ84pY05eCk9sb6C2K/4UAY3H/+tszp2TEzdqiMcvr1/Kh1eW6p9Mit0H5Vk+vq2epl4vt31wMcFIhCdU2X5iWz03P7CdG+/ezPpK5V49uqWOvDQ737p8Pttqu9mgZofiOYhaBPfC7mZ6PUFuv3YJEnhhl6KPetwB/rm+msooh3uyONbRz0ObavXPE71xoI2IhG9fMZ8eT5AntzcAsSuhYUAv7mlwsulYF/91wSwK0u08uqUOgM3HuvjQ3zfwyXu38pR6rsdUHfqDqxfS1Ovl8W31SBk/uAAlU/O+RQXc+v5FCet7PCbUwP3g6kX8+oZlI+6j3ZhHttRRkG7nCxfMYnZuCq/ua6HXE+DOd46xqiwLh9XEX9+upMXpZV+TkxtWlnLFkgL8oQhPVTRSlp0cNyLQctBrD7eTnWLj02eXUZqVxKv7WgiEInz8ni387OWDfPTuzXpE0Njj4YGNNQmb6Q8MC/33NvbywMYaPZKsbOvjo//YzG0vH+TrT+xGSsm/97Vw9uwcPri8GID3jnaoi8/G7mtxpgMh4L4NNZhNghtXlXLJgnzeONBKMBzhd68dYWFhGrNzU/jDG0cIRyRvHmrjyiUFfGTVDAAe3qwI+EjKzGwS/POzZ3D1aUXHdQ+yUmw8/aVzWVwcX5EBlGWnsLGqk+pON1csLuQjq2fg9AbZXN3FAxtrae/zc/XSQtYd6WB7bQ9vHGzDbjHx0dUzOGd2Do9trScckZRlx+/DjGxlLtzBFhcXL8jjA8uK6fUE2Xysi5f2NPPFh3fwraf38Pd3lKhOSsm/97bwzI5GwkOM3okO1A89zh8K8/i2et453K5v+8W/D/LD5/fxmfu3sbGqkw2VnfT5Q7z/tCLOm5PL5uouwhE56viV0xvkuV1NXLmkgA+vLAWUdNPrB9rY0+jkg8uLqWrv58Vdzaw93E4wLPno6hlcuaSQnXU9HGx2jRglApwzJ4fH/uvsQethjoVPnVXG/310+Yj7aLri4c11OKwmPn7mTM6bk8ur+1rwBcP88c2jLClOpzQrid+/fgRPIMR7lZ18cFkx1yxT5PThLXWkOSxxK7uTbRZyUmy8d7QDi0lww8pSzijL5tV9LUgp+X8PbecX/z7EjXdvpk1ds7Ld5eO+DTXjavSq2vt4YGONPme4zeXjI3dv5qcvHeDmB7YTiUjW7G9hVm4KN583C5OAd450kD5CX5NsZnJT7dy/sYZwRHLdihKuOa2I9yo7cftD/OGNIxSlO1hclM4f3jhCMBzh9QNtnFGWzc3nleOwmviXqitGGq8XQvDPz67mCxfMTvyNGcKkpChHYmb2wGrnF87LQwjB+xYXsKW6i6cqGuj3h/jZh5bw6bPLeP1Aq35DL12Yzxnl2TisJgKhyIgehPYgAVbMyMRsEly5pJBNVV08sqWOmk43X7xwNk29Xh7cVIvTE+TDd23iZy8f5Po7N9Lu8iGl5Mcv7Gfhj9dw20sHkFIipeSudce44c6NPL9LGQuQUvKXtyq54c6NvLJX8fq8gTCff3A7C3/8GneqKbAddd36NW66fyvBcIQ/v12J1Wzi5nPLeetQG8+qqaSrTyuiLCdZ/5DrSJ663WKmKF2JZM+enU1Oqp2rlhbS2R/gb2uraOr18pVL5nLLhbM52tbPveur6XYHuGxRAXlpdlbMzNQXm81Pix0lTgQzc5JpUcfDLlqQx7lzckixmXnzYBtP72jggnm5/PGjp5OdYuOe946x7kg7587JwWE1c9H8PDT7M1LqJHrwfeXMLC6Yl0uS1czrB1r581tHWViYxhWLC7hz3TE6+/08uKmWrzy2k28/vYefq+N8R1r7OO83azn712+zo05JjdV2uvncA9v4r39V0KKuoFPV3s9n79/Glx/ZQbv6NfR3Drez6hdvcekf1lHV3o+Ukm8+tYcfPLePzz24nacrGqjv8vDIljo+urqU0qwk/vJWJa/uayXNYeG8ubmcOStb70O88n0Y8NYBrj6tiMIMBytmZvLmwTaerGigOMPBnz92OvMLUnl0ax1vH2qnKMPBkuJ0Ll9cQCgi6XIHRnzPxhvNWWnq9XLObOVZX764gGMdbh7apDg9375yAf998Vz2Njr505tHCYQiXLown9m5KZRmJSlOzwgOIijpXIAFhWmk2i1cubSQI219PLyljl31vfzXBbPwBEL89e1KfMEwn/znVn7+ykGu+/tGqtoVI/fHN44w/9Y1fP2JXXpG4NGtddxw58ZB4/8Pbqzhhjs38thWJQoNhSN848ndLLh1Db969RBSSqra+7nu74qu+Mjdm3D7Q9z7XjVOb5AvXjib3Q29PLeriU3Hurh6aSGpdovuQJbHWCw9mpnq8E15TjKLi9K5ckkhgVCEBzfVsqOuh8+eW843L59Pe5+fhzfXKWN1i/KxW8ycNyd3YFx2FMdnojj1DFzUC/P1y+cDcMXiAoJhya9ePczM7GSWFKfzmXPKMQnBXeuOUZKZxLz8VBxWM2fOUgalZ47gqQMUZijKWkuBXL64gEA4wu2vHGRhYRrfv3ohFy/I44GNtfzy1YN09gf47YdPw+UL8dvXjnD/xloe3lLH7NxUHtxUy+PbGnhkaz2/fe0w9d0evvHkHt492sFd7x7jT28dpb7bw/8+vovttd389KX9rD3SzqKidH732hHePdrBD5/bT0G6g9uvXcLeRid/fusoa/a18Omzy/jG5fOxW0x8++k9CAFXLSlECMGSKKEdiTR1LOTcObkAXDAvFyHgL29Xkptq5/LFBXpE+Js1hwHFiADc/qGl+nnGu6R3JLS04E1nlzEnLxW7xcz583J5bGs9Dd1ePri8mCSbmU+fXcZbh9qp7fJwycJ8AC5akK+fZySFHP1SLipMx2E1c+H8XB7dWk91h5svXTSH7129EG8wzP+9cZTfvXaEi+bn8emzZ/Lgplo2H+vilocr8AbDWEwmvvTITlqdPj7/0Ha21/awsaqTzz2wnc5+P5+9fxs763tYe7idW/61g7ouN195bKeydJk3yP88tpO3DrXz770t/O9l8zijPIvfvnaYO9ZWYjYJvnXFAj59dhnbart5dmcjly8uwGYx6TIBI8tF9DjMWapRvHh+Pnsanbx3tINPnDkTs0nw4ZWl7Gl08tqBVi5dmI8QghUzs3RDmhZjia6JIrpw5ccfWAzAZYuUZ/3rNYexmATnz83lhpUl5KbauHd9Dck2M2fMykIIwUXzFRmP/rJELLQoVdcVi5RxwZ+8eID8NDvfvWohN64q5ekdjfxmjTLW9cvrl2K1mPjJiwd4eU8zf11bxbz8VF7Y3cwdb1fy+oFWfvT8fuq7Pdz28kGermjguZ2N3PbyQeq7Pfzw+X2s2dfCX9+u5PldTSwpTuee96p5bmcTP3v5AGaT4Pc3LqO2y8Of3zrK49vq+cCyIr595QJyU218++k9hCOSa9SMynK1sGOkyAqgRHV8zpmTixCC1WVZpDks/P71I9gsJq5fUcIlC/NJtpm5XXXqLlPvxw+uGUg5xlp9ZjIYk4ETQtwnhNgshLh1vBuUardw4fw8fvyBxXreflVZFleog83XnV6MEILCDAcfOl1RyouL03Xlu0D92m+KfeSUSCgs9WMBVqtVgAAfUq/xhfNn09nv56mKRj52xgw+dsZMPndeOc/ubOTnrxzk0oX5vPLV8zlndg4/fH4fP35hPxfOz2PD9y5lbn4qn71/G7977QjvP62Id79zCUUZSXzk7s08VdHIFy+cw5NfPJsZ2Ul89v5tHGnr44fXLOKms8s4rSSDv79zDCEEnzu3nIwkK1eoRRxnlGXrkZs2zyTevBaNDrVQQKt0zEy2oWXCvnvVAhxWMyl2C+9TBfXmc8v1AoHTSjO4+dxyvvG++SNeY7z5zLnlrCrL4ltXDLTj42fO1H++crFyf24+t1zfdolq2KIjmXjjsjDw0V0YUJ6Xq+dVfi5gTl4qly3M5/Ft9XiDYX72oSV876qF5Kba+MS9W6jr8nD3p1fxj5tW0dXv5+xfv82xDjf/uGkVd3xiBYdb+1j9i7docXr51/87k9/duIzdDb1c9Pt1APzr82fxq+uXcri1j//6VwWzclP4n0vm8t2rFtLZH+DpHY1cv6KEgnQHN6ws0dv2flWRRSuwnBGUTLQjqU0luGB+rr7t8xfMUu6rKncOq4mPnTFD//sfP7qc5aUZXL104P5MBp89p4xvXT5f/+pEaVYy71fTjx8/cwZWswmH1aynw3JSbfqKJVqF5mjLs2lzPDX5mJmTrBeqXb20EKvZxOfPn61HOu9blM+nzirjG++bz6ZjXXz18V0sL83gha+cx/UrSvjr2iq++PAOlhSns+F7l3LmrGy+88xevvnUHs4oz2LD9y7ltJIMvvzoTv66torrTi/mmS+dy+kzMvnW03tYX9nJVy+dy0dWz+Cyhfncu74GdyDMLRfOxmo2cd3pilxkJVt1h0cbd0seJVXsVSfmr5iRCShL5Wn65pYLZpOf7sBsErq8feqsmcxR78vc/FS+cskcPryydFKd4WhGNXBCiBsAs5TyHGC2EGLeeDfqX//vTD5//qzoNnDPZ1bz+tcv5KuXDVz++1ctZH5BKl+6aI6+7by5yku6pHigRDkWmlc2T/2kusVsihLaIvVcAyXKX1Db898Xz9W33fr+RZhMgp9ft0Tf9otrl+KwmvnthwfGGm/70BJS7BZuv3Zgv/+9bC52i5nvXbUQUJTR1UuVyOyLFykv47lzcshX04va1IroFNQc9aXOGyV1+MFlg704gN/fuIwrlxRwozr2AvCnjy1n548v57YPLRl0/G0fWsLX3jfuj31ETp+RybNfPndQxd4lC/Kp/OXVbPvhZbpByk6x8ZsbTuPa04v1KEUIwYICZQpCvHFZiB2NXKpGgekOi+5QaMpyfkEq5bkppDmsfF11AM6alc2Zs7JZWpLBp88uA+ADy4o4b24uly0q0KsCP3tuOStmZvGh5cWcVqLI6tcum0dJZhJXLinUi4a+d9VCbBYTZ5RnY1OXQLvlQuX6+VHG+vx5itwP/QxQPDQHRusfwLKSDC6cn8c9N63SjV55bgqbf3ApB352lV7eDYohefF/zh81Ihhvfnbt0kE6AeDvn1zJth9exq3vX6xvu/nccs6dk8PPomRbex8uHaGqGwYmrEendZeq+kVzPOfmp+oOuSYfnzxrwAH70fsXYzWb+GFUlPPL60/DYTXz+xsHdMWvb1C2/fL6gczJD1U98+MPDBx70zmKbP33JYruy0mx6TrvfaqMnT4jU5cBLUrNj1OMpnHmLMUJXlmWqW/7/lULWVaawZcuHtCzP7t2CW9/6yJ+ef1pg+TsO1cuHHXsdELRxo7i/QP+Clyj/vxx4HMx9rkFqAAqZs6cKSebuk73qPv0uP3y2R0Ng7ZVd/TLR7fUDdpWUdstH95cO2jbWwdb5ZPb6gdte2l3k1yzr2XQtke31MkNlR2Dtv1zfbXc09Cj/x6JROSf3zwqj7a69G2BUFj+9a2jstXp1bf5g2F573vHpNsf1Lf5giH57I4GGYlERuxrMBSWXf3+EfeZ7ngDIdnnC466X0Vtt6zu6B+07dW9zfJYe5/+eyQSkfdvqJa1nQP7BUJh+ec3j8qW3oFn1ucLyr+trZQ97oF739nnk3e8fVT2R7Wludcj71pXJQOhsL6tss0l715XNejZ7m/qlU9tHyx3ext65TuH2wZtO9DklAeanKP21ekNSH8wPOp+05l2l2/U98cfDMtndzTIcHhgv65+v3xgQ/WgbVXtffKed48NOl9Fbbf85/rqQedbf7RjmP54dW+zfHlP06BtT22vl+8eaR+07d73jsmt1V3675FIRN61rkoeidIf4XBE3vveMdnm8g7a9tjWOukNhEbsazgckfVdo+vPiQCokKPYp9H+CTlKtZcQ4j7gr1LKPUKIK4CVUsrfxNt/9erVsqKiIhG218DAwMDgPxQhxA4pZfz5Q2NgLCtd9gPaIE8qo6Q1d+zY0S+EGH2pjFOfXGDkJVSmDtOlL0Y/Tj2mS1+mSz9g+vTl+CbVxmAsBm4HcD6wBVgOjGa8jpys1T0VEEJUTId+wPTpi9GPU4/p0pfp0g+YPn0RQpx0KnAsBu4FYL0Qohi4Gjj7ZC9qYGBgYGAw3oxaRSmldAEXo0Rwl0gpnSMfYWBgYGBgMPmM6WtzUsoe4KkxnvOeE2/OKcV06QdMn74Y/Tj1mC59mS79gOnTl5Pux6hVlAYGBgYGBlORU26pLgMDAwMDg0RgGDgDAwMDg2nJcRs4IUSBEGL9kG3D1qoc67bJRgjxZSHEOvXfbiHEP4QQFiFEfdT209R9T7n2R3M87T6V+yKEyBBCrBFCvCGEeF4IYZuqz2QoU629EPd5TLlnEUuGptq7oRFDb9031Z7JUFsyHnbkuAycECILeAhIido2bK3KsW47nmuPF1LKu6SUF0spLwbWA/cCy4DHte1Syn2navuHMKZ2T4G+fAr4o5TyCqAVuIqp+0x0plp7oxj6PL7P1HwWg2QImMfUezeAmHrrH0yhZzLUloyXHTneCC4MfAxwRW27mIEKyzdQJoWPddspgxCiBCiQUlagzPX7gBBim+otWDjF268y1nbH2nbKIKW8U0r5pvprHtDO1H0m0VzM1GovEPN5hJiaz2KQDAHvY4q9G0PR9Bawmqn1TIbakosZBzsyooETSrpOC3nXAV+PMQ8uBWhSf+5Gudlj3TbhDO2TEOIn6p++Atyl/rwdeJ+U8kzAClzDKdL+aGI8nzzG1u5Tqi/xnokQ4hwgS0q5hSnyTEZhqrV3ENrzAN5kaj6LoTJ0Naf4uzEGNL01pd4PKaVriC0ZFzsy4jw4KeUXx9DWWGtVjnXbhBOrT0IIE3AJ8CN1014ppV/9uQIllXFKtD+aoX0RQtjH2O5Tqi9xnkk2cAfwYXXTlHgmozDV2qsz5Hm0TtFnMVSGrucUfzdGYojesk3RZ6IxLnYkER3W1qoEZa3K2uPYdqpwAbBVDkwKfFgIsVwIYQauA/ZwardfY6ztPqX7IoSwAU8DP5BS1qmbp+oziWaqtReI+Tym6rMY2u6vMMXejSFE662p+kw0xsWOjGklk1F4geFrVcoxbjtVuBJ4L+r324HHAAG8JKV8SwiRzqnbfo2xtvtUfhYAnwdWAj8SQvwIJQUzVZ9JNC8wtdqrMfR5vAM8zNR7FoNkiLHrrlOVaL011d+PFxgHO5KQlUzUipjLgfeklK3Hs20qMVXbPx2fhcZU68dUa+/xMBX7Np3fDZhafRkPO2Is1WVgYGBgMC05lQcdDQwMDAwMThjDwBkYGBgYTEsMA2dgYGBgMC0xDJyBgYGBwbTEMHAGBgYGBtMSw8AZGBgYGExLxmzgRIzP5BgYGBgYGJyqjGklk1ifyYlHbm6uLC8vP8lmGYwHEmWZg4SeU4JI9EkNDIZgyO5/Hjt27OiUUuadzDnGulSX9mmDF0fbsby8nIqKipNp0ylLJCIxmSb/jXh2RyOeQIibzikf8zGPb6vnZy8f4A8fWc4HlhUnpB1ffmQHm4518erXLqAkM2n0AwCnN8gdb1dyzbIiVs7MSkg7ToZwRGI+BZ7peHOqyO6ehl5e2dvMt65YgMNqHtMxh1pcfOwfm7n29BJ+ft3ShLTj4c213PbyQf7+yRVctbRoTMdIKbnnvWry0uzcsLI0Ie04Gaa77Aoh6kbfa2TGlKKM8WmDoQ25RQhRIYSo6OjoONk2nZL84pWDnHbb62ys6pzUdmyp7uJbT+/hxy8e4HCra/QDVO5dX40vGOGPbx4lEjn51Wu213azZn8rTm+QZyoax3zcXeuO8c8NNXzl0Z0EQpGTbsfJ8KPn93Haba+z+VjXpLZjvHn9QCuLfvIaf327clLb4fIF+fQ/t3Lv+hoe3Vo/5uOe2FaPyxfi4S111Hd5Trodbn+IP755lHBEcv+G2jEft7Gqi1+vOcw3n9rD0ba+k27HyfDi7iYW/+Q1/v5O1aS241QnIUUmUsp7pJSrpZSr8/JOKqI8JXF6gty/sQZ3IMzf1k6uQD20qVb/+e1D7WM6psXppbrDzfLSDKo73GxKgEJ/YlsD6Q4Lc/JS2Fw9dqO/9nCb2iYf7x6dPGeo3eXj0a31eAJh7ttQPWntmAjuXHcMfyjC39+pwhMITVo7Xt7TTJ9fuf6bB8e+LOL6qk6WlqRjNQse3XbSTj1vHGylxxNkVVkWuxp68AXDYzrurUOK7AoBjx2HgR4P7nxHeaZ3rztGMDy5juKpjFFFOQY2V3cRkbBiZiY76sb+QiQaKSVba7q5cVUpc/NT2VXfM6bjDrcq3ua3rliA1SxYX3VyhkVKybtH27l4QT5nzsrhcGsfY1nTtNcT4GhbP99433ySbWbWV06egVt3RLn26rIstlZ3E05AVHsq4vQE2dfYy4qZmfhDEXbUjU1mxoPNx7ooznBw87nl7G10jimT4AuGqe10c+nCAlaXZbP+6MlnUNYd6SA31cbnzisnGJZUtfeP6bjttd2cNzeHi+bnTarsNvd6OdLWx8qZmfT5Q+xviptc+4/HMHBjYG9jLxaT4AvnzyYQjnCgeeypwURS3+2h2x1gxcxMFham6YZrNI6pL/DSkgyWlWay8ySVXIvTR2d/gDNmZTO/IJVeT5DO/sCox2mKZFlpBktLMib1xTzY4iLZZuYTZ86kzx+iumNsSm6qsb/ZSUTCly6aA8Cu+t5Ja8vuhl5WzMxiUVEankCYhp7R0401nW4iEubmp3JGeRaHWl0n7WDua3SyuiybBQVpAGMycJGI5FhHPwsL01k5M4vqTjdu/+REwwdV/fNfF8wGlPtqEJvjMnBSyovHqR2nNFXt/ZTlJLO0JB0YMBgTjWZYl5UoBq6xx0v/GF6yqvZ+slNsZKfYWFiYxtG2/jFFXPE4oo4/LCxMY25+qn6N0TimGpE5eaksLkrncGtfQsYDT4TDrS7mF6SxoFBRcpWT9EzHG+25rJiRSWlW0qT10+kJ0tjj5bTSDBYUKu/RkTE4aFr75+alsrAoHSnHJmvx8AXD1Ha5WVCYRllOCmaTGNP5mp1efMEIc/JSWaS2Y6wOZqLRxt4vmJ9HusNyUvdjumNEcGPgWEc/c/NTKc1Kxm4xTdoAc3OvF4AZ2UmU5SgzNhrH4AXXdXkoz0kGYF5+Kk5vkI4+/yhHxUdTTPPz0yjNSh7UtpE41uHGZjFRkpXEwkLFi28aw3GJRkrJ4dY+FhamMScvFSGgsm16KoljHf2k2S3kpdmZX5BG5STJrvacZ2YnU5atyExDz+jPvr5bke9ZuSnMVyOukzEsVe39RCQsKEzDZjFRmO4Ys+wCzMlLYaHqFE2WHjjU2seM7CRS7RbmFaRNW+csERgGbhSC4Qh1XR7m5KViNglm56XqkchE09zrI8lqJiPJSmmWUpbfNAYl0eX2k5dmB9CVxMm8FEfb+ihIt5ORbKUow6G2bfR21HW5mZmdjNkkdANdl4CquOPF5QvR6wkyOy+FJJuZ4owkqjunp5I41tHP7PxUhBDMyUuhutM9KVFzi1ORj6IMB5nJVlJs5jE5Z539flLtFpJsZspzkrGYxEmlkzWjNL9AyTwUZzpodo7B0HYpBm5WbgrFmUlYzUI3vhNNQ7eHWblK++fkpUzb9HoiMAzcKDT3eglFJOW5ikIuzUqalKgDFCVRlOlACEGJauAax2Lg+gPkpCoGbqYayTWcxMvZ1ONlpuqFO6xmclNtNDt9ox7X0ecnP21wOyZDSbS7lLYWpCvGuSQraUwGeipS2+lhlnqvS7OSCYQidLpPPHo/UTT5KMpIQghBaVbycciuDQCL2URxZtKYIr94aA6hlnkozkyiuXdssisE5KTaMZuU9idiysKJ0Or0UZiuvEelWcl09gcmrfDtVMcwcKPQ5lKUQaGmDDOTaOrxntQY1onS4vRRnKEYtrxUO3aLaVRjG45Iuj0BclMUJVGY7sBsEmNSLvFodfkozBiY2F2UMTYD0eUOkKsa2sJ0Bzazibpu9wm340RpVQ2c9kxL1Wc63ZBS0t438Ky0yfiT0ddWpxeLSeiZhNKspLEZOLefHFV2QUnPn4xz1uLykZ1i0yeZF2Uk0eL0jhrVdroDZCfb9InVM7KTJ8U5C4UjdPb7B5wz9Zm2jMHB/E/EMHCj0N432NsvzUrCHQjj9AYnvC0tTi+FakpQCEFJZtKoaZ4eTwAp0SM4i9lEUYZjTOmhWEgpB3mQoKSdxmLgOvv8ujeueMEnp6xOlFZVGWj3sjgziVaXj9A0m0/U4wkSDEs9atai/snIQLT0+ihQnSvQIqfjyz4AzMhKPmHZBWhz+vR3WWmHg2BYjhrVdvb5decMoGySDFxnf4CIHNBHxaqBm64ZiJPFMHCjoEVwBapC1zymk4mAToRgOEJ7n5/ijIGXMz/dPmqxSJdavq8ZFhi79xyLXk8QfygyKILLS7PT2T9yO7yBMO5AeJCSKM1OpqF74l/M9j7tmQ6kKCNyILKbLgx1zkqOY9w20TRHOWcA+Wl2nN4g/tDIqbXO/gC5qdERnJKSO9EJ6y1Onz5uDEomBBj9PXIHyE0bHEk6vUFcvol1dIdmH/So3DBwMTEM3Ci09/mwWUxkJFmByfOC2/v8SAlFmdGGxTEGA6f8PSclyrCMcfwjFkNfMIDcVLsaLcSPgDQDGK2sitIdk2JUWp0+MpKseppqMlN344nmnOWrzlm6w0qawzIpyrB1iGHR2jTS/MlIRNLt9g+R3ZNzMNtcgyO43LTR26H8fXA7tHO0TXBqUMs+aNcvzHAghBHBxcMwcKPQ7lIKI4S67HiRGrm0TrBgt6gCXDjE+xzNwHW6lRc32rCUZCbR1uc7obUgh6b3YEBJdLvjK4kBAxelJDIcdPb7J3ypoVaXb5CB1hTvtIvgtGKatKiUXEbShI/XSCmV8ePMwVF/dBtj0esNEpGDsw8n8/75gmG63IFBhlaTx65RMhBDU5R6OyZYZvSoPENpi81iIjfVTssYCmX+EzEM3Ci0uXz6GAZATooy0KwJ2kShVaEVD0kNugPhEVdU0CO4QS+nAymhY5SXOhYtMQxcnqqARjK2Wqo0WkkUpivtaD+JOXknQrvLp0cQAPmqATiZuYGnItp9HdTXdPuE3+9ud0BJa6dHy8zo97wrllOk9uVEDEv7kIIx5dyK7I6UYtfS69GGVjvHRDsLrU4fZpMgNyVafu0Tro+mCoaBG4X2Pv+glIbJJMhLtesvy0ShRXBFmVFKQk+vjGxYzCZBpppihaj0ygkoiVaXDyEYZPR1L3gMEdxgb1yNnCZaSQyJ4NKTLNgspmln4NpcPtIdlkGfpclPc4wYNY0HmhEojiG7IzlZnTHGjzXZPZE+6On1KOcs1W7BbjGNmKLUZDcvdbCjABOfomxTM0rRnz5SDNz0kt1EkXAD1+ebvNXKx4OhOXtQhLttggWqxekj1W4h3TFgqHQlMZIX7PaTnWIb/EKkj54eiker00teqh2reUB0NAPXOUI7YqYoT8LQnijhiKRjiNMihOq0TDMl0e7yx5Tdjj7/hE72bomaA6eRk2pDCEZ0FLvcw2XGYTWTmWw9oQhOm2webeCEEOSm2scmu1FFJg6rmewUGy0T7CzE1EdjGIufarywqykh50m4gfNOowmH3kCYPl9INyQa+Wn2SfCCB1ehwdgqwDr7A4PmEUG0YTn+l6LV5R/WjtwxRJKd/QFS7YOjCS2Cm8g0T2e/Xymzzoit+KcTbX2DU7GgyG4oIunxjL44dqKIXsVEw2o2kZ1sGzmC69MKpIbIb5rjhGS3LUYEB4r8jtQOvRI5ZfC9LEh3THyRyZDsAwxUMU+nL2JU1HUn5DwJN3DTaS7R0DJrjbFULyaaoeXNSjvUSGwU7zPaAwbITrZhNYsTS1E6vcNesBSbGYfVNIqB8w8qdAHITLZis5gmNILTi2SGPtPU6TeO0e7yDyowgYHxxomMVlucPqxmMUwO89JGTvV3uQOYBGQmDzFwGY4TkpkWp49km5k0u2XQ9twU25hSlLlDHN2iDMeEj8EpEdwQpyXdTkSOXOQ11UiUfk24gQuGp48XoZdZpw313Ox0uQMTWv0XvYqJRnaKkuYZqQIseqkjDZNJkH+CXnCr0zfMAxZCkJNiH1FJdPUHhik4IQSF6Y4JHYPTFGMsJTGdUpRSKqnY/CGGXOv3hBq4Xi8F6Y5BaXJQ5Ld7hAnWnf0BslMGVg/RKEy3n5CBa3P51LL6wefLTR15Hqc2thwrEzKRzpknEKLPFxqWfdAyOdPJQTtlDVwoMv0jOM0LHm1yc6IIhJTleYYaFq14ZKTijq4h83c08k9ASXgCIVy+0LB2gDKmMto0gaGGFpR00WQYuKERXH6aQ53EPj1S7L2eIIFwZJhzpsnuRCrm5hjZB1AMXI8n/kTpeLJbkK5kUI43WxQrCwKQnWqjxx2Iu/xeR5+ftCHpdVAiuC53YMJkJl72IX8SnJbx5kQqvGNhRHAjMHQVEw1NaZxIBHRi7fAh5eAqNA3FC45tWGKVN2so4xjHp+TivWAAWcm2Ecd1YqVKtXNN5FyiVpdSZp0TI10Go0/4nSq0xXPO0se2ckciUSZ5Jw3bnpNiGzn74B6efQClTxF5/M9q6DJdGtnJNkIRSV+c6TZxnTO9onOi9MDgFXg0xjLlYiqhZR8SwbiMwU3GQsTjwdBVTDROpgrxRNBWKYitJOy6gWvv83HpH9Zx+8sHgegqtFhK4vgjuFiTvAfaMWBonZ4gV/zpXb73zF5AkYkeTzCmgSvKUAzcRMlMm8tPnroifDT5Y6hInUoMXcVEw2E1k+awTJjsRiLK2qVFMZ0zOy5fiKCqM275VwXX/m2DvjJ+V79/mCMCJ1Z9G45I2vr8cSNJgB5Vfr/51G6u+vN7+seEY6XXYeA9mCgHbSC9PvlOy3jS7w/hCyYmE5hwAydR0iPTgaGrmGjoc3EmSKC0F2i0CO65nU1Ud7q5f2MNPe5A3OovgPx0By5fCG9g7OmVWMt0aWSl2HQF8dLeZo629fNkRQNNvV69fbENrYNAKDJiqiqRtLl8w8YwIKr4YpqsZhJrFRONiZw31eUOEAhHKIoVOaUojmOPO8D+JhdvHGxjT6OTdUfalWNjVADDgPwdj2HpUqsMY8muZuC63QFqOt08t7OJw619rNnXAoyQfZjgKuBY8/hg4p2W8SaRhnpcJnpPl1zw0FVMNHJStDk8ExXBaYI9PILLijJwm4516dt3NfQMRHAx+jBgpMfeh1irmGhkp9hwB8L4gmG2RLWjorZbTyXFi+Bg4iZ7t7kGfwlBY7qNY8RaxURjIosjtOcavYaqRnbKwAIBm4516tu31fTgC4bp8w+fogMDy1QdTx8GZDf2OwTKlzc2R8nu9tpuvX3xUqUwcZO921w+UmxmUodUgYKSYk/UuNVkMwUM3PTwJIauYqJhMSvrv02UMmxxeklzWGIKdk6KMvYViUgONrt4/7IiTAL2NjoHVoKI4QXrSx4dx8uprYyRbBvejqzkASVxoNnJFYsLcFhNajuGLxemt0NP80zMYrGtccZhdKdluhi4GKuYaBSkOyasn9rXsodWAMPgyOlQi4uSzCRWlWWxr6lXd9piyW5uih2LSRyX7I6UfchO1toR5ECzk3SHhYvm57G30amm12OnKJV3wTxhEVy87AMoUflE1QSMN4k01ONj4KbJjY61aoBGQbp9wnLvsaYIaGSn2IhIZXX1zn4/S4szKM5MorbTHfNTORonkuZpiVMsoLRDSTe1u/w09HiZV5BKeU4KtZ3umF8SGNYO5/jLjDcQxuULjey0TJM0T1uMVUw08tOV+WcTMe4Za5FwDU0utdTg7LwU5ualUtPpiZLd4YbFZBIUHOf0kpHGj7NU2e12+6ntcjMrL5V5+anUdrnpcivfU4wlu9o0l4mKhttc/pgGGjSnZXrI7hSI4Ka+gYu3iomGItgTF8HFGqSHASWxo15Jp8zKTaEsJ5naLg9d/X6SbeaYEZf2oh/PyzmSB6mlm/Y2OQlHJOU5KZTnpFDTNWBoY6VK89LsmIQygXy8iTdIrzGd1vRrj7GKiUZhuoNAeGLGPVtcPmxmU8xILDqCq+50K7Kbm0xnv1//0nss5wyO38FsdSmTzWO1I9VuwWY20e0OUtvpYVZOMmW5KfiCEQ40O4HY6XVQp7lMYLo3vsPtmDCnZbzp6PMPKwI7URJu4Exi4lfaHw/izYHTyE+fuEVrW3pjz9+BASWxo64HgNl5KZTlpFCnep/xFESaw0rKcaZXWpy+mMUCSjsUL3iX2o5ZuSmU56bQ0O2hTVVyQ1eQAGXJptzUiYmGR0pTwcRP3B1P2mKsYqIxkWuAtvQqk6uHTvIGyEyyIgQcbeujzxdSZCYnBYCddb0Ag1bNj+Z4DUur00d+Wux2CCHISrHS6vTS7PRSnpvCLLUdFbWKPMdyzoAJW6ggEpG098U3cPlpdvyhCC7v1F8LuKNv+KpHJ0rCDZzVLGjv8+MLhvnUP7fw8Xs2H1el3mTyz/XVnPPrt9l0rDPuKiYaBWkDkzzd/hCbqjrHZZmygW9YxU9RgjLmBjAjK5kZWcn0eILUdbljVlBqRE+y/vWaQ1z3942DPob54u4mrvrze2ys6iQYViabx4vgtDG4PY29Sjuyk5mRnUQwLDnc2kduqm1YNaqGMlVgfCKnjj4/W6q7kFJGrUUY55mmD4xj3P7yQc799dscbHaNS7sSzZbqLs785Vv8bW2lPo8oL04EF/3JmUhEsrGqk95xWpsy1hqqGhazMgVnX9Ng2YUBOYofwQ2sA/nqvhau+vN7vKNWXwJUtvXxob9t4M51VUDsFXiiyUq2sa/JiZRKO7QPq2rvVazID5R3qE29j4nGHwqzobITfyhMjydAMCyHzcnV0FasaevzsWZfC2f/6m2e2dGY8DaNBz3uANf9fSO3/KtCWQw9TtXqiZBwA2cxmWh3+XhxdxMbq7rYUt3N0zsaEn2ZhNPrCfC714/Q4vTxf28cjbswq4amJDv6/Pz3ozv55D+38vvXjySkLe0uHw9srKGr36+3Y7QI7lCLi3SHhSSbWX8JDrX0jegJaV7wwWYX/3i3mt0NvfzlraOAsmrJrS/s53BrHz97+YD+RfF40U+G6o0f63BjEkpKR4sgDjQ7Y46laCjjKYph3VHXzZPb6xOiMHzBMNf9fSMfv2cLz+1s0u/l0OWrNPLSHHS5/Rzr6Of+jTU0O3388c3EPNPx5revHaa9z89f3q6kptNNIBwZNYJrd/n454ZqPvXPrXzy3q0JueeBUISHN9fqqT1l/Di+YclOsXGoxaW3a0B2XTisJpJtw4tkQJFDdyBMryfAbS8d4HBrHz9+Yb/eh1++eoi9jU7+8PoRWp2+mIsUD23HsQ4lLVqY4dDfez1FGS+Cy3AQikg63X6ae708uLEmYc7CD57bx6fv28qPnt8/evYhbaBo7DevHabV5eOX/z6ozyk8lXlwUy27G3p542Ab6460jzh+fLwk3sCpEdybB9uZmZ3MgoI0/r23JdGXSTivH2glEIpwxeICdtb3cLhVfeniKAlNSW6t7ubdox0APLS5dsSPj44FKSVf+FcFP3v5IN98ao8+RWC0CE7x7pQ2af97g+GRI7j0JFqdPl7b34JJwOWLC1izv5VgOML6yk76fCGuXFLA0bZ+NlUpZdzxxgI1bxwU42Y2CV1JKJO84xvaIjWSbHX6+Pg9W/jes/u4f2NN3P3Hyit7W/SI9OEtdbQ4lTLrWKlSUCIbKeHpCsXzff9pRbx7tEOf8HuqUt/lYVd9L1cvLSQYljy3U/nUSDznTJvz1+r089CmOgAOtrhYX9UZc//j4Y9vHuXHLx7gk/duxekJqus/xpZdUCIjbfWjgnQ7OanKmKwnoMhuvKhf69u/97XQ3ufnqiWFNPZ42dXQi9MTZH1lJ1cuKSAi4c2Drco49kgRXFSElp9mx2E1k5FkpccTjJteV9o8MM3llocruE19b0+W5l6v/smY53c1UdnWP6jf8dqxubqLui4PVy0ppMcTZHN1V8z9TyVe3N3EObNzSLGZeftwO+0jFPcdL+OQojTR7vKzq76HM8qzed/ifCrqenD5gviCYb7x5G7+9/FdeAKTqzQe3VrHjXdt0seuttX0kJNi4/Pnz0JKWLO/FbvFRHpSbMHWPKkXditC+OsbTsMXjOjGrqPPz7M7GnH5Rh/Ij/7MxZbqbvY2OinOcPDu0Q521ivtK8mKrSTsloF5MVpRQXQaI16KB5QotL3Pz5aabhYXp3PjqlL6fCF21vWw9lA7aQ4L37h8PgAv7WkGYpd7a2jl1gPtGBDSkVIOBRnKpPNHttQRDEtmZCdx34Ya3RuXUo7pUyAHm128vKdZ33ft4TaKMxz876Vz2dvYy9G2vpiL7Wpoiv+1/S0UZTi46ZwygmElhQfwl7cqufGuTbrzM1lsr+3m+js38tCmWmDg0yJfuWQuSVYzr6oTlOOls2wWpeijoq6bpl4vt75/ESk2M6/tbwWU1Njzuxqpau8ftS3RaXlPIMTDm2spyUzC6Q3yyFblecaTXRhw0ExCqZg0m4Re2DVi9kGVrZdVufzhNYswmwTvHmnn3coOwhHJFy+aQ2G6gzcOtuELRmLOxdPbkRxt4ByDrjFaeh3gzYNt7G9yUZqVxNrD7RzrGLh3Y4mMu/oVfeH0KvrinSPtRKSiV8IRyXOqsYvn6GrvnDY5/X8vm0eS1cw7h5W07boj7Xz4rk36/Zosut0BbvlXBT96fh9hdVyxtsvDpQvzOXNWNluOddHlDsSV3eNlHFKUAq86brRiZibnzM4lHJHsru/lnveqeX5XEy/taeaOtUpuPBCKcMfblTywsWZQBVDwJJb8CoQGj4XtqOvhtpcOUNnWByj5+Vtf2E9FXQ/ffGo3kYhkZ30PK8uyWFycDkB1h3tEZagp7/WVneSm2vjIqlLSHRbePdJBIBThE/du4VtP7+ELD1bo/dh0rJPvP7tXV5BSSr73zF4W3LqGB9SIZe3hNmxmE3d9ehUAj22tB+KnKGFASWjRZnQKbqTUYGFGEuGIZFtNN6vLsjmzPFu5X/U97GpQHJQFBWlkJFlZX9mpHjN6OzQFkRO1EvyI7VDb++zORhYVpfON982nxeljV0MvvmCYT9y7hSU/fY03DrTqxzy5vZ4fv7BfLymuau/jujs38tXHd/GXt44ipWRrdTdnz87hzFk5RCRsrOqKqyBgwCDUdnlYMTOTFTMzsZlN7KjrYXttN3966ygVdT18++k9+jN9ZkcjP3/loL6KCyhK/0QX4PUFw4MUYovTy09f3M9r+xXFFQhF+PoTu9lV38vPXj7AsY5+Kup6SLNbWFSUzvzCNKo7lVRbfpzsAygyoj3TC+blccG8PN5TnbPbXjrIN57cww13btTTug3dHn7w3N5B2Zintjew+Cev88WHlbGTrTXduANhfnXDaRSk23XZLYkT9cNA9W1u1PJp2rs1suwq+2yp7mZufiozc5JZWJimyG59D0lWM8tKMlhZlqn3cyzvkMUkdKdWMxpjkl11vOtu9b19Vb1P//fGEebduobfvnZYP2ZnfQ/ff3Yvuxt6AUXXfeweVV88tF2X3bw0OzesLMFiErx3tGOQ8R9Kss1Cmt1CbZeHdIeFhYVprCzLpKK2B28gzNef3M0OVXa14rg9Db3c9tIBPUWsMVR/jpVwRA5yeILhCHeuq+Kf66t1p/M3aw7xxsE2Ht1az9MVDexQi3hWlSu6V5PdkdLJx8O4FJlozC9IY/mMDExCWdHiye0NXDAvl/efVsQjW+rwh8L84Y0j/N+bR/nZywd5YGMtAO8cbuf0n73B5X96T69m3FHXw0fu3sTPXzmo36x3Drdz3d83csfblbrCuf3lgyz48Rq+oyqhFqeXm+7byoObavns/dvwBEI8tLkWh8XM7dcuoa7Lw8t7m6npdLOqLIs0h5UZ2YoSjJeeBMhKtmJTv2p9WkkGFrOJM8qz2V7bzWsHWqlq7+fC+Xlsq+1m3dEOGro93PzAdp7Y3qC3Y+3hdp6saCDFbuFXrx6izeVjfWUnq8uzWFaaQbrDQlOvl9xUe8wJu3pbNMOiCkV0OmXE1GCUEC0qSiMrxcbs3BQ2VHZS1d7PstIMhBDML0gFlO++pTtiR7SD2qG+hCaTwGExjdqO6CWPzpmdw/sWF+je+KNb69lS3Y3DauaHz+/HGwjz1sE2vvfsPh7eUsfXntgFwF/ersJqEpxRnsX9G2vZ0+ikyx3grNnZLCpK0681Uuoj+m9z89OwW8ycVprBjroeHt9WT6rdwm0fXMz+JhcVdT2sPdzGt5/ew30bavj6k7sBxRBc/Id1rLj9Td1gtLt8fO6BbXz2/m26cqnu6Ofj92zmvx/dQZ8a5b+0p5llP3uDq/7yHt3uAOGI5JZ/7eChzXX896M72d3Qy1uH2mjq9fK7G5dhEoKnKhrYWdfDirIszCbB4qi+xpsmoPRV+ZvDamJefipnzc6mqdfLrvoenqpo4Py5uXgCYf7xrqKcvvBQBY9va+B/Ht/JzvoeOvv9/OzlAyTbzbx+oI1X9jazobITm8XEWbOyWTkzS08Pl2Qmx22HVrwR60vvI8lMwSDZVZzSlTOz2F3fy676XpaWpGMxm5hfMHA/xmLgbBaT7tQWjqEdOanKpPNmp48FBWksLcng9BmZvHOknSOtfdyxtopUu4W71h1jT0Mvnf1+PnPfNl0P9LgDPL+zSdcX22t72FzdxdaaLs6enYPdYmZuvvL+xVpDNRrtec8rSMNkEqyamcXhVhfP7Wqk1xPktx8+jUA4wmPb6ul2B/i0qhdvum8rLl+QUDjCFx7azsIfr+Hv7ygBSDgi+eW/D6rZLiVT4AuG+f6ze/nEPVs4qgYNNZ1uLvzdO5zxy7f0rNOf3jzK7147wi/+fYj7NyjLBz67s4mbzy1nUVE6j22rZ0ddDzaLiSXF6SwsTB94viM8q+NhHMbgBk5ZnptMmsPK/II0Ht5SR1Ovl+tXlHDjaiUV9uKuZh7aVMsNK0u4YF4ud6ytpKvfz3ee2UtWio3GHg8/f+UQTm+QLz2yg/1NLu7bUMP9G2po6Pbwlcd2cqS1j/978yiv7G3hnSPt3L+xhrl5qTy9o5FX97Vy97pjhMKS3924jGanj2d3NPLmwTYuXpDHR1fPwG4x8bvXlEKC1WVZAMzLV16KkW6yEAPe1Jw8RQDPnJVNdaebe9+rpjQriXs/s4qcFBvPVDRy97vHALjjEytoc/l5fFsDD25S0jnP/fe5hCKSv62t4nBrH+fPy0UIwbLSTGBkDxhA8yk0wxIddY6UGoyOxmarfVgxM4tNx7qISFhWmqHcD1VJjBTRAqQ7rIPaAegvZDzPEwZ7a4uL00l3WDmtJIONx7p4ZEsdq8uyuOtTq+js9/PvfS38+e2jzM5N4UfXLGLTsS7ePdrBGwdauXFVKd+5ciH9/hC/WXMIgLNm5ZCTatfvw0hKLrpSblauopRXzsxkb2Mvr+1v5colhdyoyswre5r569tVlOUk892rFvDu0Q521HXz05cO0K1Oz/jOM3vwBcN899m9bKjqZPOxLr719B5C4Qj/89gudjco57395YN09vv54XP7KM1KoqbTze9eO8xbh9rY1+TkF9ctJSPJyl3rqnjjQCtZyVZuWFHCOXNyeGl3M0fa+lg1U5FdTRaFUNLXo93zWbmpmEyCM9To/ScvHiAckfziuqVcuaSQF3c38cpe5Rq/+/AyspNt/G1tFU9XNOIOhHn6i+cwKzeFR7fWs76ygzPLs3FYzbrsQuw1VDU0p8hhHdAbmvyMFDk5rGaSVKdvdq5S0r+yLBN3IMzuhl5OK1GuP9jAxY/es6IiOP0eqbKSFaeCEhT51tqrZX/On5vLnkYnd797DIfVxCtfPZ80h4WHNtVy7/pqvMEwd35qJU5vkH9truP5XU3MyUvhnptWkWq38Le1VbS5/Jw1S3kmi1UDPlL2BAaMvjbVYmVZFhEJv3/9CEUZDj6yagZnlmfz8p5mHthYg9sf4k8fW05nf4CHNtby8JY63jrUzpy8VH7/+hH2NznVNtdwoNnFFx6qwOkN8sc3j/LE9gZ2NfTwxYd3EAxH+N6ze3F5g1jNJr791B66+v38c30NN6xQdPs/3jvGmv2thCOSG1aW8KHlxextdLJmfyvLSzOwW8zMUx1pGDm4OB7GZOCEEPcJITYLIW4dbV9rlIHTPsS3sixLn1R63txczp+bS0aSle8+uxd/KML/O28WX7xwDj2eIP/z2C46+/385eOn8/nzZ/HynmZ+/eohOvr8PPnFs7lofh5/e6eKO9ZWEgpL3vjGhSwsTONPbx7l3veqKclM4uWvns/svBTuWFvJi3uauWJJAR9ZVcqionR+8tIB2lx+rlhSgMNq5sxZiudqM5tYWqIo9JnZinKLN0VAQ4skNeNwhiqQ+5qcXLYwH7vFzAeXF7NmfwtPVTRwzdJCPri8mOUzMvnHu8fYWNXJdSuKmZOXysqZWTy8RRnwv3BeHjDwwowm2KGINkgff7WIWAwycKqSWFoy4EVp92O+6kFaTCOLixZF58VcCmtshlaLFs+dk8OOuh5qOt1cu6KEs2dnMzM7md++dpj9TS5uOqeMT509kySrma8+thN/KMI1pxWxqiyLzGQrW6q7KUx3UJajPEst7TTSvRzknGlKYmYWwbDEEwhz7pwcUu0WLlmQz0Ob69jd0Munzyrj5nPLSbGZ+e2aI6w93M6XLprD729cTpvLz09fPMC6Ix18+4oFfO/qhayv7OQ3aw5zsMXF725czv87bxbP7mzkd68dpt8f4p6bVvHxM2by7M5G/vHuMfLS7Hz8jBl8ZPUMXj/Qxgu7m7lsUQEWs4nz5+bS4lQ+pbS6XDFwZWq7R8vua9F+mSrri4rSSbNb2NfkZE6eMofx2tOL6XIH+O4zeylIt3PjqlI+ceZM1h1p58FNNZw+I5N5BWl8cHkx22q6OdrWzwXzctXzDRiWNId1eANUNKci+t5rhjkzKf5xAD41DTw7T5Xd4gz9b5pzNj9KaY7kZGljcNH6KyeG0YtFipoxmRclu+GI5PldTVw8P58Z2cl8YFkxr+5v4fGt9VyyII9rTivi/Lm53Lu+mq01Xbz/tCIcVjMXzMvV15Q9e7aiT+ao79/Qr5oMRRuL15yzFTMUmej1BDlndg4mk+ADy4s51uHmjrVVnD8vj+tXlHL+3FyerGjgvg01nDkrm2e+fC4ZSVb+/FYld66r4oJ5uTz9pXPo8QT54xtHeHBTLTeuKuXOT62kptPNbS8dYFtNN9+8Yj4/+9ASqjvd/O8TuwiEI3z+gll8/vxZdPYHuPWFfRSmOzitJEOXk6ZeL6vKlH5qU0RgdJ03VkY1cEKIGwCzlPIcYLYQYt5I+0cLg+btnz4jU99WkO7AajZx0XxFic/ITmJJcTrnzsmhOMPB5uouFhSksXJmFp85pxwh4IntDZw1K5tlpZl85ZK5OL1Bnqpo5APLipiRncyXL55DdaebTce6+ORZM3FYzXz6rDIOt/bR6wny4VWlCCH4wLIi/cW/dEEBoBhcUKoDtTRgZrIiSDbLyLdHq5iM9YJp571qaSERqVQ5fmBZMQDXn15Me5+fiIQPLle2XbG4QD9W89g0ozMaWhVarJTUSIYlemBdS9EsieqDNoZTrrYjMMo8P83QJsdIp+amxTe00SutaOmYc+fk6tsuXZiPEILrTi/Wx9zev6yIZJuFK5YU4PKFyEq2sro8G7NJ6A7CWbOzdRnUlOZIEVw0s9Q+L4+S3bNUhXPponx921VLC0m2WXj/siK2qYvzfuz/t3fe4XEd5f7/zKqteu/uPS5xEjuO04hpCQktBZJLgEsolwvJpV64BAKEEkK5PwJcICHFkO44xXGKU1xix3ZcJVuWbcm2ilWs3vvuanfn98cpW7RarbC0jfN5Hj+WRlveOTPfed95z8ycS2dy2dwslhSksrGkkcS4GD5z2Sw+e9ks0syxPLb3LMUZidywvID/eN88nBKeLznHFfOzWZCXqi9uOdLQy40XFREbY+KGFYX6d2p9Retj7nZqwdlEZKl9XHP8MSahBzRXqZ/7PlWjWvBgMgluvLgYp1Q2kn/swkIPewCuUgcubSY5Edqg7X5rQ8PkJ1sALieufdc8t+9coTq4mW7Xw196TzuuK9bNjjhV/xMFC9oq20Vq5ucSNRMESt8FuPGiIiyjTvotdl3zn1hZxKDVjlPC9Wr7vn+xq29p9dLadKJ7Yxb177PUICc9yeUQ187L9rAH4KMrCgD41KoZnOsZ4VzPCLevmUV6YhyfWjWD7ZVtdA7a+MrV81henM77F+fyxP56bHYnX33fPN6/OI8lBak8c7CBpPgYblk1g2uXFZCflsB71V1cUJjGsqJ0rlyQQ3ysCaeEa5flI4TQxziAVer1Sna7tZKZ5N+ZB0ogM7h1wPPqz1uBq/y92FcnWqmmK9xz2VfMVy740sI0hBCYTIIrVGF9fGUhQijnzWmr9j63djYAl85xdZ4vXDEHgOuWFehlt66eCcAnLirSy652czYaWuNrzjfNLcrUUh/OCXq29lfNwbk7xLVq/Va7dfarFyl23HCha7BarKZQtMEkOT5GP21BczoTCUy75L72DPnrKCYfwYh75K2hbXqdYLzR/+4+SGjXxN2Z+kNzdqvd2rlYXf12rVs7a85Xa/t5uSl635ujztpmuw1u2n3JtAmiYI0M1V53hzhDjTDXqW0FrgH0xouKAWXAzk9TUrmfWjUDUBxjmjkOc1wM69QB7NOrZxAbYyI/zazXT+vj7mm1W9TPWDnDFXhcrTrwJQWu12nRu3b/eCK0dSwpCa7rkareX12lpivNca4tFZoz0wIQpUzRmPtgdYF6H6XYz4pFD9SuEu82c9L6z0T9TUMLRtzHHu0kEn9pWnc0/bu/PkY1INBjo7QZnPv98nVLlLZarV5TULbjgOe4pbWl5ojApUl/M093HE7Fwbmn2rXAQQvO3Nvlw0sLxtihjZH/dulMvUwbP2+/TOmfaeZYFuWnevTxy+dlk2aOI8YkuFINTrU+ExdjcmlY/U73sWeV2xjpXffzRkrp9x+wHlip/nwtcLeP13wVKAFKZs2aJX+/9bR8p7JNatgdTvmDF4/Jow09eln/iE3e9UypbOga0ssau4fk158ukT1DVr3sWGOP/M5zR6V11KGXbTvZKn/26gnpzrMH6+Vfd1Z5lP3f9jPyhZJGj7J7Xzkh3z3drv9uHXXI72w8Kk+19OtlvcOKbR0DFumP0vpu+ZPNx6XT6dTL3jzeLH//9imP1z3+3ln5+HtnPcp+91alfP1Ys/67w+GUd79ULg+f7dLLRmx2+a0NR2R955D0R1Vbv/z+C2Vy1O66RvuqO+WvtlT4fZ+UUj62p1a+6HWN7n+jQu48Nbb9Tjb1+f2s5t5h+c0NR+Sw1a6XlTf2yh9tKpcOh9PPO6XceKhhzDX60/Yz8pWyJv13p9Mpf7SpXL5X1aGXjdjs8psbjsgzra726xywyDu92q+mfWBMP/LFlvJm+Zd3PPvR3/fWymcP1nuU/ebNSvnWiRb9d7vDKb/3fJksqevWy/pGbPLOZ0rl2Y5BvayhS+nj3YOeffzbXrbtqGyVP3/1pMd3bjzUIB/aVe1R9uDOarnpiGf73ff6SY9r5Autj7f3u65RXeeg/Maznu136GyX/MGLxzzab0t5s/zdW5Uen/fkvrPyiX1nPcr+uO2MxzXyhWXULr/z3FGPcaBzwCL/69kjsm/E5ve971V3yPte97xGm4+ekw/u9LxG6330cW80/bn38UHLqPzGs0dkW9+I3/eWN/bKu1/y7ONbT7bKX7/heY2ePlAnH91d41H2h22n5eaj5/TfnU6n/Onm43Jfdadepo1R1e0Dfu2o7RiU33nuqLSMutrvQE3nmDHqlbIm+Ydtpz3e++juGvmkV/vdv6VCvnncNUaN2h3yv58v8xij+kZs8s6nPfu4r3H8+Lle+d2NZdLmNkbtPNU2Zox6qbRRPranVkopJVAiJ/BPE/0TcoLpgRDiT8AGKeUBNV25REp5/3ivX716tSwpKZkK32tgYGBg8C+KEKJUSrn6fD5j/DXfLkpR0pIHgJWA37OLSktLB4UQkXG+kX9ygPM/2iE8iJa6GPUIP6KlLtFSD4ieuiw+3w8IxMFtBvYIIYqA64G1E7z+9Pl63XBACFESDfWA6KmLUY/wI1rqEi31gOipixDivFOBEy4ykVL2oyw0OQC8X0rZd75famBgYGBgMN0EMoNDStmDayWlgYGBgYFB2DMdT/R+ZBo+MxRESz0geupi1CP8iJa6REs9IHrqct71mHAVpYGBgYGBQSQyHTM4AwMDAwODkGM4OAMDAwODqGTSDk4IkS+E2ONVNuYw5kDLQo0Q4utCiF3qvzIhxMNCiFghRINb+Qr1tWFnvzuTsTuc6yKESBdCvCmE2CqEeFkIER+pbeJNpNkL47ZHxLWFrz4UadrQ8DFurY+0NvH2JdPhRybl4IQQmcATQLJb2ZjDmAMtm8x3TxdSyoeklOuklOuAPcCjwIUop7esU/8dD1f7vQjI7gioy2eBB6SU1wKtwEeI3DbRiTR73fBuj7uJzLbw6EPAQiJPG4DPcethIqhNvH3JdPmRyc7gHMBtgPsjYNcx9jDmQMvCBiFEMZAvpSxB2cz+MSHEITVaiCXM7VcJ1G5fZWGDlPJBKeU29ddcoJ3IbRN31hFZ9gI+28NOZLaFRx8CPkSEacMbbdwCVhNZbeLtS9YxDX7Er4MTSrpOm/LuAr7tY6N3MtCk/tyNcrEDLQs63nUSQvxU/dNdwEPqz4eBD0kp1wBxwA2Eif3u+GifXAKzO6zqMl6bCCEuBzKllAeIkDaZgEiz1wOtPYBtRGZbePeh6wlzbQSANm5FlD6klP1evmRa/Ijfjd5Syv8MwNZBQHsGQwqK0wy0LOj4qpMQwgS8H7hHLSqXUlrVn0tQUhlhYb873nURQiQEaHdY1WWcNskC/gzcohZFRJtMQKTZq+PVHq0R2hbefegmwlwb/vAat+IjtE00psWPTEWFtcOYQTmMuW4SZeHC1cBB6doU+JQQYqUQIga4EThGeNuvEajdYV0XIUQ88ALwQyllvVocqW3iTqTZC/hsj0htC2+77yLCtOGF+7gVqW2iMS1+JKCjuiZgM2MPY5YBloUL1wG73X7/BfAsyuMYX5VSbhdCpBG+9msEanc4twXAl4FLgHuEEPegpGAitU3c2Uxk2avh3R47gaeIvLbw6EMEPnaFK+7jVqTrYzPT4Eem5CQTdUXMh4HdUsrWyZRFEpFqfzS2hUak1SPS7J0MkVi3aNYGRFZdpsOPGEd1GRgYGBhEJeF809HAwMDAwOCfxnBwBgYGBgZRieHgDAwMDAyiEsPBGRgYGBhEJYaDMzAwMDCISgwHZ2BgYGAQlQTs4ISPx+QYGBgYGBiEKwGdZOLrMTnjkZOTI+fMmXOeZhloSAlChNqK8XFKiSmcDTSICpwSTGHczQwdTD2lpaWdUsrc8/mMQI/q0h5t8MpEL5wzZw4lJSXnY9OUMWS1s72yjQ9dkE9ywlScSvbPMepw8rWnSkk1x/KH2y5CBCiEV8qa+N4Lx/jh9RfwpavmTrOVk+d/3z7FQ7tq+Psdl7JucV5A77HZndz5zBGS4mP4420XYQrhqNU7bGN3VSfXLs3HHBcTMjumm0GrnR2VbXx4aT5J8aHTgc3u5GtPl5KeGMcDt64MWAcvHz3H918o58cfvYA7rgw/Hfz2rVM8/G4NT3xpDVcvDGw8ttod3PXMEVISJjcmTAc9Qzb2Vnfy4TDTgRCifuJX+SegFKWPRxt4G/JVIUSJEKKko6PjfG2aMn76ykm+9VwZP9l8IqR2vHykiR2n2tlc1syhs90Bv+/xfXWMOiR/3VmN1e6YRgsnT++wjUf3nMUp4an9gffDHZVtbK9s49Vjzbx7JrR95RsbjvLNDUd5YNuZkNox3fxk8wm+9VwZPw6xDjYdOcc7p9p5+WgTJfU9Ab/v8ffqsDslf9lZg83unEYLJ0/PkI31qg6e2Be4DrZXtLO9UhkTwkEH39hwlD9urwqpHdPBlCwykVI+IqVcLaVcnZt7XjPKKWPU4eTtk8oxZVuOt4TUQbx1spWs5HhiTILdVYF15n7LKGWNvSwrSqNryMaR+t7pNXKS7KvpwmZ3sqwojf21XTidgR35tut0B0nxMaQkxPLmiZZptnJ8Oget7K3uBODVsmai9cg6m92lgzeOt4TUQbx1spWclHhMAvZUdQb0nr7hUY6d62NZURqdg1bKGnun18hJ8l5NJzaHk6WFaRyYlA7aSYqPITk+hrdOhO6IyPYBC+/VaDpomuDVkUfUrqI83tTHoNXOTRcXY7U7KT837gR0WpFScvhsN9cvL2BJQWrAdlS1DSAl/MfV8xCCSc38gsGB2i6S4mP47GWzGbY5qO8eDuh9J5r7WD0niyvmZ3MwhHUqqetGSrj5kmJa+y2c6xkJmS3TSfm5XoZtDm6+uBjLqJPjTb0hscPp1HRQyOKCtIAd1Zn2AcBdB13TaOXk2V/TRUpCLJ+5bBaDVnvA/ehEcz9r5mZx+fyckOqgtK4HKeGmi4tp7rPQ3BtdOohaB3e6VRHGZy+bBUBlS7+/l08bTb0jDFjtXFCYxuL8VKraBgN6n/a6VbMzmZ2VxKnW0Ng/HpUt/SwrSmNFcToApwK4vg6npLp9kEV5KawoTqe+a5ghq326TfXJqdYBhIBbV88EoCJE/WO6OaXpYO1sACpaBkJiR1PvCEM2B0uL0licn0JNe2A6ONOm2Lt6TiYzM5OobA2N/eNxqnWApW46CKQfOZySmo5BFuWnsrw4jbquIUZsockwVbYOYHLTwcnm6NLBpByclHLdNNkx5VS3D2KOM3HxrExSE2IDdixTjeZolxSksiA/hdZ+C30joxO+70zbIIlxMRRnJLIoP1UXerhQ0zHEgrwU5uQkAdAQwAyusXsYq93JwvwUFhWkAlAV4EA31ZxqGWBudjLL1YGpOkR2TDc1HYMkxcdw8cwMUhJiqQ5RP9ICzMUFqSzIS1EcXgDBTVWbYn9ReiKL8lOoCiMdSKkEbAvyUpibrSwwbwxABw3dw9jsThbmpbA4PxUpQ9f/TrX0MzcnmaVFaYDSX6KJqJ3B1XQMMi8nhRiTYEF+ClXtoRHGaVWQiwpSJyWCpt5hZmYlYjIJFuWnUtc1HDY32LuHbHQP2Zifm0KqOY6MpDgaeyau09nOIQDm56awKF9xcKFy3FXtAyzKTyUlIZaCNHPUCVujun2Q+bkpmEyCBXkpnAlRoKe186L8VObnpgBQ1zU04fvO9YwwKysJk0mwMD+V2o4hRh3ho4O+kVHm56aQnhRHqjk2IB3Uqn1tfp4r0DsdIh1Utw+yuCCV9MQ4clMTdNuihah2cPPzFCHNzUmmoSuwe0RTTUPXMDkp8aSZ4yjOTASUdM1EdA7ayElJAGBOTjIOpwyb/LguUHWgmpmZRGP3xLZ1DFgByE8zMzMzkRiTCMjZTwetfRaKMpT2mJebTF3nxINtJFLbMcS8XCWwmpuTHNBMezpo6B4mNzWBlIRY/bo391omfF/XkFXXwdzsZOxOSWvfxO8LBjUdWsCmXF9FBxNfX08dJCFEYEHvVCOlpKXPQlG60h5zc5Kp7YguHUSlg5NSEUGxKqQZGYm09ltCEvk19Y7odriEHYiDcwl7huoYw2UhhDYTm5ujCHtGZmJAkWvHoCLsnJQEYmNMFKSZQyLsAcsoQzYHBenK9S3KSAxosI00nE5JW79F7z/Fqg7sIdZBYYYZgJa+QHUQD7h0EEhfCwZaUDQvRwn0ZmQmBqTRTlUH2cnxxMeqOghBnQasdkZGHeSnKe0xIyMxbILoqSIqHVzP8CijDkl+mmsAc0po6w/+INbUM6LP3LKT40mINQXUiboGbWR7CftcmAhbi6AL0hVhFGUkBhRVdw5aSY6PITFe2Uwa6IAw1bT1uyJoUOxvHwhNADSddA/bsDsleamuejqckjZ1BhFMmnpG9H6ck5xAfIwpoEyGogMt0FPu94ZLoNesOmh3HbQEpAMbqQmx+qbqkOlAtTXfzf62AWtIAqDpIiodnObINGHrqcEgdyIppUfkKoSgOCNxQmFbRh0MWu36DK4gzUyMSYSRsC1kJ8frAs1LTWDYptjsj85BGzmpCfrvMzKTQuTgVGGrDq44wxyyAGg6celAueah0oHTKWnutejfbzIJCtLNtEwwax622Rm2OVw6SDdjEuHj4Fr7LOSkJBAfqwyjeWkJDFrtDNv866Bj0Oqhg5mZSZwLQSZDD/RUWwozzDickvYQBEDTRVQ6uHY9x60KOyPwe19TSeegDavdqX8/KJ1ootmOlqPPVYUdG2OiMN0cRjO4ET3NBJCrCqRjAmF0DrjSrgAzsxJpG7AEfRO+t4MrTA/8nlAkoekgT3fkgafIp5KOQSs2h1OfgQEUppsntKNzwAagpyi1dF4onIEvmvssFLnrIGUyOojXf5+RqaSOg72IrLV/bCYGAksdRwrR6eC8ZnBawwU7ctUcarGbsHNSEugctPl9X9eQ8vdsNxEEMvMLFi19FgrSXE5bu87tE8yA3O+ngFInKZkwkp9qWnUH50phQ/AH/umm3XsGF6JAT5txzXAL9PLTzPo92fHoHHLds9UozkzkXJi0U2vfCAVpLgenBRITzYDc76+DUqdQZBC8A72iKAz0otPB6ZGr0onMcTFkJsXRNhDchtMcqvsMLjclIaAIDzyFXZhu1gfmUNPiHblqM7iJBiwvYWuRY7CF3d5vJdUcqx88XJiuLXoIj+s7VbT3e+ogMT6GNHNs0K+3K9Bz6SAnJUHv5+PhSwcF6Ylhk0pu6bPofQcmMYNzWyENLgcTCgeXnhin32rQsjLRFOhFp4Prt5BmjvU4GTsv1awLPlg0+xJ2agIjow6/m1y71MjVfQaXn2amrd8a8jMTh212+kZGdecErhmCv+s76nDSMzzqW9hBzvm39Vv07wZIToglOT5mwoEp0mgbsJCRFEdCrJsO0kKng6IMdx3EM2Rz+D3BQ8t05KS66SA1gbZ+S8h1MGi1M2CxU+hWJy2Q8JfJsNmd9I2M+gz0gh3AKjpw2ZGaEEtiXHTpICodXFu/VU8XaOSlJQT95mlrv4UkNWrWCCTK04XtJoK8NDM2u5Pe4YlPQZlOtFmOe+SakRRHXIzwO4PrGfK8nwJuDi7IM6fWfotHagnUgT/IM/zppr3fSn6qVz1TE4Jez7Z+C6kJsaS4PbJK69udfvpMl/q3rGRXnylIN2MZddI/Epoj3jRa1ftU7jrISlIOVPenAy149XTa2gwu2OOT1SPQE0KQm5owYSYmkohKB9c+4BmZgJJGC3Zk0qrOFNyf9aStnvIn7I4Bq8cyYkAfkIOdZvWmVXdwrshVCEFuSoLfmYH7HjiNNLMSMYYiRZnn3T8CSB1HGu0DY+upOLjgz5h9XW/wn9buHLSSZo4dMwOF0OugxYcOTCZBTkq8Xx24Fs64rkdGUhzxsabgpyj7PDMZEJpxcjqJSgfX1m/VFz5oaA0XzNRGe79FT9/pdgQSuQ7ZPNKT4FoQEepTHLR0k3vkCorj1qJTX7jSTa7rIYQgPy0hqKkZbfOz9wwu2iJX0Pqfr5lqcHXQ5jVTALcZnL9MxpDnthJwC/RCfB9OWxg1RgcpCfoiMV90+gj0NB0Es04Op6Rj0DpWBynBD4Cmk6hzcFJKOnxGrmZsjuCm+Nr6rR73qsCVmvCbovRaTg+udF6w7594ozlY7wErMymebn/C9rFgQPucYNZJ2/wc7ZGrUx3AfM3gbPbgpvi873mCSwf+VhR3DljJSfbuL+ER6GkzOO/rm5Uc79fBaUFUbspYxx3MOnUNWnE4ZVhkuqaTqHNwvcOj2BzOsZGrthAiSI0npfQp7OzkBEwCOvwJe9A6ZganCSnkkWu/hSy3Td4a2ckTODg9cvWemQZ3dajLQY8V9oDFjmU0vJ6c/s/SM2xj1CHHZhB0HQTnmkspfaaEs5MnzmR0Dlo97lWBW6AX4kG4tX+EnJR4j/QpKA6uJxAdpHrr2xzUOnmf5qPbkZpA38hoSB8QPZVEnYPz3uStkRdkYfeP2LHanWMGmBiTICs5fsIUpfdMJyE2hqzk+JBvFfCVtwdF2BM5uIRYk8dCA1AWDQRzVZzW/r5mcDDxEu9IwaUD7wEsuA6iRw04vVNh8bEm0hPjJq0Dc1wM6YlxIZ/Btf6TOugatJEUH6NvUdHQZnDB0oFrL6hvHUy0VzdSiEIH57nJWyMvyCm+8ToQqOm8cTqQ3eGkZ3issEFx0sFeaeVN24CFgrSxtmUmxzNsc4w7A9L2/rgvuAGlTlZ16XQwaO3zPfDnBnmGP914H9OloS9lD1Kg572Z2J2clPEDvVH1dkJ28ti+Fuz7Vb5o6x97/wqUlZSDVvu4MyDvvaAa+WnK9qGBID0AWLt+3rdQoi3QizoHpzmAMcIO8gA2XgcCzyjP6ZQ8sa+Oow09gPKMKSnHpvJA2wsX6sh17IIBUFKUgF6v/TVdPHuwQY9IO73O39NwbfYOXrsI4RKyRqCbdCOF8WZwuiMP4vVW7Bjb9tnJCXQNunTwj/fO6jro8rEHTiM/zRySA6PdUVaG+tC2qtueISVg21/TxcbDXjoYR9sQvC0zbf0WTMKlW41oc3CxE78kstBncF6C0jbzBj1yTfXhDFLi9Sd9v3WylXtfPUlyfAzH7r3W5x44jYI0s/5k5FAw6nDSNeTbwWW5Obi0xDg+8+gBQHnW2tp52XQMWPXT5N3RPqu138Ji9eGP00lbv4Xs5ATiYjxjOy0AipaVlNpmY29Hrmw/MQUt0NNPU/Ghg6zkeP1Bs1uOt/Dz1ypITYil7N5r3R4p42u2Y6aqrXMarfaPze6ka8jmcwanOYyuISvJCTFuOkjh0jlZdA7YmJ2dNOZ9BW46WJgfHB3kpiqPrXIn2hxc1M3g2vuVPWTeOW4I7o1c7+PC3HGfwb1zqh2AIZuDE839LmGPk8boHAzd4yw6B61I6TvdlKUL28bhs916+Y7KNvW9vtOuBSGIXLXnwLmTnaIu/okSYbcPWD2OYdJQlqQHTwdaqt6nDlJcOth5WtHBgNVOhZsOcn3M4ArUcywdztCcZuK6j+sjVZ/kCvQOuelgu64D/5mMYN1b9N7kraEFFNGig+hzcANjN5Vq5KUm0BHE1IyvAQYgKzmB3pFRHE5JaX0PF85IB6Csocd10oGPNEZBunIoa6hmGeOtQASXg+sZslFS302sSXBBYRrHGvtwOCXdQ77vPWhtFazFM20+TvcAbfFPAh1RcppJe791TJpeIz81eKnuNnXVrfdqQ1BmOz3DNpxOSUldDys1HTT2uFKUvoKidOWxLv4WqEwn461ABNfxet1DNg7X9RAXI1hSkEpZQy92h5Puce6vB/s8ynYfK7xBWfyTmRQXNaf6RJ2D87XJW6MgiAcWt/aN3UyskZ0cj5RKlNTQPcw1i3LJSIrjTPug66QDH4OTtqk0VKd9+xW2Gvl1Ddmo7RhiVnYSq2ZncLptQBnExrmvmBAbQ05KfNAOOh7v3gmop3yEeBHPVNHmL9BLS5jwyQ9TZocfR5uVHI9TKrPNxp5hrlmcR5o5ljNtg34zGaE+HLvdz8KZLFUH3UM2ajsGmZ2dzMWzMjnTNkD3sHJ/PdeHDsxxyirpYNWptX/saU8auSE47Wa6iDoH5+uYLg1tkUYwluK2+dhsrqHNdsoae3A4JXNzkpmTnUxd5xCdg1biY0ykJoxNsQY7jeHNeEvsAVLNscSYBN1DVs52DjE3W6lT38go1e3KfRZfTlv7vNYgPIPK370TCM15pdOFr3MoNYJ5cLevvaAamg6ONvQgJczPTWZOTjJ1XYoOzHEmkuPHzvxcOgjNqffej1tyJz0xDiEUB1fXNcSc7GTm5iTRMzxKbccQ4HtWqnxecDZ7W0Yd9A6Pjts/8lLNRooyHHFtKh0/QrcG6RSH8VIA4LoRfbhOWTE2LzeFuTmag7ORkxI/Zjk9uEeuIRJ2n4VYkxiz8gqUc/gyk+LpGlSErTltgJI65V7EeMIuTDcHJXL1d+8Egpu6m06003xyxw30grck3fvEene0WX9JvaIDrc+c7Ryia5xtJeA6/zFUM7i2fitxMcLjEGiNGFUHnYNW6rqGmZebzGxVB6VqPccL9IKmAy0T42OFNwR3hj/dRLyD23m6nSt+vYNnDtaPu7law/V4FgsOp+RoQw+j07Bgw6k+9n08YWtLiY+oS6LnZCcxOzuJ5j4LLX0j4wpAuadnCtkMTks3mUxjBx1QHHdl6wCWUSdzcpKZk6OsFtMGsPEcnLbZezoYsTkore9Wz6D0L2z3RTx/eaeKtffv4HBdt8/XhhvbKtpY86vtPHOwftzTfDRcx75ZsDuclNZ3T8vTpO0OJ50+zjvU0ByEroOcZOZkJ9HcO0Jrv8VnehIgUz2cOHQ6UM749OV8QalXRXM/NruTOdmuQK80hDqwjDooa+xVTljyk4nRytsHrDidkr+8U8WVv3lHtz3SiGgHJ6XkV1sqae6z8Ns3T9HYozzK3l/DgdJB73+jkpse3Mf3Xzg2JbaMOpwcrO3CMuqga8iGwyknFHZFcz+J6skM2uysoqXf5wwJlBVwRemJtIQoulIW8PiuE0BmchyVzco2hsJ0sx5pn2hSyrzP39MoTE+kZ3gUy6iDQaudg7VdU7ZC7j+eLOGWh/bz4K5qv1s3AHLTzDglVHcM8n87qmntt/CbN09NiR3TidMpuf+NStoHrPzurdP6E7TH638uHVi5b0sltzy0n/95cWp0YLM72V/j0oFTMm6fcddBSkIsaeY4fSFVZUu/z3tVoOggWLMdX/iblYKy2buixU0H6oNEjzf1AYw5hk+jMM1M15BN18HhOiUwmwq+8kQJN/71Pf72bq0eGIzbP1ITsDslNaoOmnpH+O1b4a8DX0S0gzvZ3E91+yDXLs2n32LnjeMtwPgOTmvQuq5hnjlYD8DmsmYau4fP25YfbTrObY8c4Dsby/SBNHecgVRbSmy1O8lPU9Iw2iDQ6/VQ0DF1SFfy9JZRB//5VAn/8WQJw7bpSTX1DNn4978f4tvPHcXucPpdOANKysmmzojz08wkJ8SSmhCr31dMS/S97VJrr5Y+C1/6x2Fue+QAv5sCQZU19rK3Wtkv9fi++nGfhKDboc6cXz7ShM3h5CPLCiit7wn5sVATcbypj7OdQ1y3LJ++kVHePKHpwH8mo7ZjkA2HGgB45Vgz53rOXwd3byrnM48e4LvPl+nXbbyMSmZyHKDoQLtfrW3h8H44rjcFaWZa+kYYsTn46pMlfPXJEr8PTz0fulUdfHdjmaKDfovPAxw0spLjGXUojikvLUHdtqQ8SDQ+1vf9dXBlFtr7rdzx90N8+m/7+X9bT5+3/Ucbetx0cHZiB6eWv3jkHDaHk+uW5XPobHdEpi0jysEdOtvN7Y8e4NVjzYDr3s73r1sMKJtFYXxhayJ6+0QrllEnP//EMuX3k60AWO0O9lR1MDjJexMNXcO8eOQcAG+eaOWguv+lOGPsxmaAuBjlHD7FJqUzuXe28VIz4HJwTx+o5+2TbWyraOOxPWcnZW+g/HH7GXaf6WBzWTOvlTcrDm4CYWtog5om2uxx7iuCy+G8fbKVQ2qb/mNfHb3DkzsPr3fYxu4zHfo+wR2VbcSYBPd+fCmdg1Z2ne4gIdZERlKcz/drwn7zRCvmOBPf/OBCwLVH66n9dfzbI/s5fq5vUnZNNftqOrn14f28UtYEoKdRNR28Xu4/0NPa5s0TrVjtTn7xyWVICVtPKnu1LKMOdp1uZ8AyuePTznYO8fJRxaY3jrfqqemicXSQEBujD/aaTe5p1fFmOuC6X/XUgTq2VrSxtaKN9XtrJ2VvoDyw7TS7z3Sw6WgTW463jHseq0aW10N9tb2HoGQxJtLBGyda9Gu3fu/ZSR9j1ztsY29Vp54F2VHZToxJ8JOPLaWt38ruqg4S42LGDTi1MentE60kxsXwjQ8oOth1pgOApw/U8/n1B6loDt2hE4ESNg7Oe0VXW7+F3751in1q5GEZdfCNDUfYV9PF9184Rlu/hZL6HorSzSzMT2V2dhL1Xf5TlNpBrXurOxECbry4mEX5KfoA9l/PHuXz6w/xmUcO6INkY/cwf91ZzdnOIf1zNhxq4No/vMsm1altrWhFSnj6y5cB8MwBZXZYlOFvthPvYau7g/O1nF6jUN3q8Hp5CyuK07lmUS4bDjXoqYy+kdFJOwaNzkErQ6pzH3U42XS0iZsuLqY4I5ENhxoZsNrHddqgnEep10910lqwMdGsFOD5w40IAU9+aQ02u1MPPP6+9ywffuBdPbABJYX1l3eq9Gh0xObgk399j3//+yHuefkEAAdqu1helMYHl+QDsLe6k4L08e+daAFQQ/cwFxZncEFhKlnJ8ZTU9XCmbYCfvnqSA7XdfGvjUX3wePtkK79965THAbtSyn86xWp3OD200Nw7wq+2VLC3qlOv5zc3lHHobDf/82I57f0WjjT0MCMzkQV5qczMSqRBzUiMt4pXm1nvq+nCJODmS2awIE/RgZSSO585wh3/OMxnHzuo66C+a4g/76jy0MFTB+r50APv8lKpooNtqg6e+YqnDnydYKOhOQNdB+nuOvDXZxJp67ewpbyFlTMzeN+iXDYcapxyHdjsTl452szNlxRTlG7mmYMNDNkcfnWQpWZoTML1s0sH/rUNig5MAh7/4qVY7U62VSiBx/q9Z7nuD7v1TBUoOvjrzmp9djVss/PJv77H59Yf5CevuHSwojidDy7JA2BPVSeFfnSg2VrXNcyKGeksK0ojIymOUlUHP3nlBHuqOvnWc0f16729oo3fbz3tcc2llP/0St2pWuE75Q6uoqWf91Sn1Dts4zsby7jr2SP6vpZzPcN89ckSfvBiuZ5SeOtECyt+tpVPPbSPAYuyAfrLTxzmoV013PGPw1S1DbClvIW2fiv337QCq93JS0fOUVrfw6o5WQBcUJAGMO7mag2t8ebmJJOeGMfl87I5Ut9LaX0P2yraWDkzg+NNfbx6rJlhm51bH97P/759mtse3k/fyChVbQP8ePMJzrQN8oOXymnqHWF3VSfzc5O5amEO+WkJ1HYOYY4z+VxlpaH9TYtc3WcV3scruVOQnojDKSlr7OX9i3O5+ZJiWvoUZ3+ssZcrf/MOa+7fwW412pJSsreqk/eqO/VOI6Vk56l2j5MWXjvWzNr7d3D173ZS2zHIobPdDFjsXL+8gHWLc/XX+husNKcdaxLEqAtRtIHLn7A1517bOcSyojSuXpjDzKxEtlW0UdHczy9er6CmY5Dvv3CMlr4RWvssavrmDJ9ff5BRh5Mn99dR3zXMRTMzeL60kTNtAxxr7GPtvGxmZCbqMwV/KVZl1Z7y84L8FIQQXDIrk6MNPWw83EisSfDLG5dT2zHE7qoOSuq6+c+nSnloVw3/9ewRdRWvhev+uJuLfrGVPVVKG3QP2bjr2SP851Ml+vLrhq5hvviPQ/z388f0FPNrx5pZ8bOt3KzqwO5w8qXHD/PonrN86XFFB68da6Zz0Mpvb9F00ERJXQ+rZmcCsDhf0UFmUpzPzdUamvObn5tCSkIsa+dlcaS+hyMNPbxzqp2LZmZQfq6P18qbGbQqOvj9tjPc9vB++i2jnGrt595XTlDTMcgPNx2nuXeEd890sDg/lSvmZ5ObquggKT5Gz1b4Issr0NMcAvjPZBRlmBl1SI6d6+P9i3O56eIimnpHONrYw9GGHq749Q7W3L9DDwyklOyp6tADZlDuXb5zqs1jIdErZU2svX8H7/vdTuo6hzh4tosBq50blhdyjYcOxh635V2n+FiTviCrQNeBf22DogMteC3OSGTryVZONvfxy9crONM+wHefL6O936Lr4H/fPs2///0QdoeTJ/fXU981zMoZ6Ww41EB1+wDHzvWydl42s7KS9G0X/jIx7uPPkoJUXQelDT08d0jRwb0fX0pV+yB7qzspqevmK0+W8Od3qvnmc2WAsoDp+j/t4ZJfbmN/TReg6OCbG47yX88e0QPCxu5hvvJECT/cdFw/qH1LeQvL7317XPsmw5Q7OJMQfOu5MoZtdu55+QSvlDXx1olWvvv8MZxOyV3PHmXn6XY2ljRy35YKOgetfP/FcjKT4zja2MsD287w1olWTjT187OPLyU2RvDQrhrePtlKYbqZz6yZycoZ6Ty9v56WPgurZmUAsCAvBRh7eKg3mpDm5Sivv3RuFiOjDn7xegXmOBNPfXkN83KTee5wI0+p3/Hjj15A+4CVx9+r47E9Z0mINfH6N67CKeGxPbUcrO3imkVKdLSiWLGnOCNx3AgJ0M9C1Byu+2t9nb+nUeTWMVfNyeKDF+QTFyPYUdnGT189SWJ8DMUZidz9UjmWUQcP7qrhc+sP8tnHDvK3d5UUzv1vVPLFxw9z68P72XCogb7hUX606TgL8lKwO5zct6WSbRVtJMSauHphLhfNzNC/MxBhx8a46qIPXH7qlJwQS6pZcUAritMRQnDVglwO1Hbz2J5akuNjeO0bV2F3Sp7YV89fdlZhszu554YLqGofZPPRJjYdaWL17Ewe+twlAPz0lRPYHE7WzsvGpJ6qAuPffwOlTWLVAWmuuvLtktkZ1HYO8fzhRq5ZlMutq2eQZo7ltbJm/rSjitzUBO6+fgn7arrYX9PFL16voK5rmDRzHN9VndfdL5Xz1olWdlS2870XjuFwSu58tpT3qrt46cg5frWlkvZ+C3e/VE5+WgLl5/r4w7Yqthxv4VTrAPfduJwYk+Bv79by9slWijMSuXX1TC6ckc6T++toH7CyWnVwC/OVfu1vIHVvl3m5Sj0vnZPFkM3BL16vJCk+hqe+vIa5OclsPNzIE/vqaOu38rOPL6V9wMoTqg6S4mN57b+uwu508uieWg6f7eF9i3IQQrCiWDmVZCIdaNdbC/TcV+gGEhQBrJ6dxYcuyCfWJNhW0c5PXzlJckIshelmfqDq4C/vVPP59Ye4/bGDPPxuDQC/eqOSLz1ewqf/tp+NhxvoHbZxz8snWJCXgs1NB+Y4E1ctzOHimZn6d/oN9FS740yu4VW73v7SrikJsfrjpJarOrh6YQ77a7t4bM9ZUhJiefWuq7DZnTyxv44/v6Po4IfXL+FU6wCvlTfzUuk51szJ4sHPrUJK+Mnmk4w6JGvnZWEyCf28V3+BXkJsjB7oaVscVs3OpLp9kBdKGrlmUR6fWTOL1IRYXj3WzB+2nyE3NYHvXbuI3Wc6OFDbxc9fr1AD/Ri+s7EMy6iDu18q5/XyZt443sL3VR18/ZlS3j3TzoZDDfzmzVO091v4nxePUehnhjwZAjpsWQixHlgKbJFS3ufvtbOyEukctPLL1yvZcryFb31wIanmWO7bUslv3jrFscZefv/plZSf6+Xpgw3YHZIBi52X77yCh9+t5dmDDRxt6KUo3cznL59DdccgTx9QboR/4fLZaqPn8ped1QCsVmdws9QDTB0TTG21lXzzVWGvUd9/rLGXDyzJI80cx80XF/P/tp7hZFMfq2dn8pWr57G7qpOnDtRjGXXwkeUFLC9O58oFOfzjvToArlmcC8Dy4jS2V7b5dVIAdqdrMYY3vk5Q13CPvJYUpJKSEMulc7J4eLfivH5543Lm5yRz+2MH+evOah7aVcNHlhUgkTyw7TSzs5N4dM9ZPr1qBk29I9y/pZKG7mEGrHZ+f+tKtlW08cftVQB86II8EuNjWK4OVjBBukmfwbmErQ1cseNsLdDQ/r5IPWj2qgU5bDjUwKajTdx8cTHLitJZtyiX5w4rfeajFxbylavn8tzhBn79ppIi/PknllGYnsiFxekcqO3GJGD1HGVQmpOTxKG6bj1KHg9tccCcHNXBzVLeP2C1c8X8HBJiY7huWQEvqGm5b35gAV+8cg5/e7eGB7adobShh69dM58PLsnjU3/bz89frWBrRRv//eFFJMbHcN+WSn79RiUnmvr5079dRGl9D88cbMBqdzJkc/DaHZfy4K4anj1UT0l9KjMyE7l9zSwqWvp59qCigy9eOUcNAnJ4cJcyWK+arfTj2VmKDpwT6ECbHc3LVRzimrkuHXzogjxSzXHceFExf9h+hvJzfVw2N4s7rpzLjlPtPLG/nhGbnRtWFLK8OJ0r5rvpQA30lhel8c6pdr/ZCPfr7Wul5XirbsG1Fw5gcUEqqeY4Vs3O5G+q87r/phXMzErk8+sP8ded1Ty4q4YbVhQw6pD8fusZZmYlsX7vWW5bPZP67iHu21JJXdcwg1Y7f7jtIt483sL/vaOMMR9emo85LoZlxWn6d870E+hpi8hi3AI97Tp4H27sjeZYNEd05YIcnjvcyMtHm/jUqhmsmJGup2Otow4+dmEhX33fPJ473Mh9r1fSNWTjl59cRnFGIiuK09lf20WMSejj5LzcFI409PqdwQFo3WeOOq5erE4kBqx2rlqQjTkuhg8vy+dFVQff+uBCvnL1PB7eXcvvt56mpL6HO9fN5+qFufzbIwf4+Wsn2VrRxvevW4xJCH771il++9YpXQcHz3bzzMF6hm12hkcdPPL5Vcz/b78mBsSEMzghxM1AjJTycmCeEGKhv9cnxcdy0cwMNhxqID7WxB1XzOFza2eTkRTHI7trKUw384mLivj6ugU4nJKNJY1ctSCHBXmpfOGKOVjtTsoae7ll1QxiTIKPrijSP/vaZQWA0ugaS9SOMEsVtnXU/34ebZXfXHUAy0sz6+m0qxcqn/vRC5XvHLI5+OTFxQDcckkxnYNWBq12PnmRUnbdsnz9cy9TBwhtJmmdYH+dJmxfIvbnHGdmuYSlOY91qnMF+PiFhVw+P5slBan8WRXovZ9Yyi8+uRyTENz5zBFSzbH85ONL+dknljFgtfPQrhrWzM1iWVE6t1wyQ/+sDy/N96gTMO4CDXBFp+4zOG2m6ieIB2DIqqQnFqsO7vL52frfPqTaccuqGfQOjzJotXPTxcUIIbjxomI93XH98gL1euTp1yrVrNibpv6vzRQnYq66h2+Fm3NfO0+x6YMX5OllN1xYSEJsDJ9cWURJvXIix+1rZrF6ThYritPZWNKIOc7Ev1+u6CA9MY7H9p6lOCORj64o5GvXzMfhlLxYeo5rFuUyLzeFL1w+B8uok/JzfXxq1QxMJsFHVxTq33mdDx0s9tKBbYL+Z1OfV6bpwN1hXL1Q6U8fW6l857DNwScuUjRxs6qDIZuDGy8eqwMtoFigtuNE+0y1QM/XSkt/KcqZWS57c3UduNrloxcWctWCHBblp/Dnd6oxCbj348v45SeXg4A7nzlCmjmWH3/sAkUHFkUHa+dlcUFhGp9ePVP/LE0HC/Ncp/yPt0BDsXtsoKcFcBPIQL/3pwV6V7jrQO13N18yg+4hG0M2Bzdd4tJBl6qDjywvVK+H0o6zs5P0maH2f5qftLE72gzuwhkZetla1Sbt3jbAxy4sxBwXwydWFnG4TtHBZ9bM4rK5WSwtTGPDIUUHn1s7my9cMZtUcyyP7K6lOCORj11YxJ3r5jPqkDxf4tLBVBBIinId8Lz681bgqonecNulSue4ZFYGmcnxmONi9Ivx6dUziYsxUZBu1m/Ufm7tbACWFbkiJG2g1SJL959XznQNOlpEpM0s3AdXf7gP1FpeWnNwmugBblAHzWuXFuhlV/poYO2+n5bCC3TGkujjKCJ/9+60gRpcaU1N2CYBGUnKasXPXjYLUGYghemJ5KeZdaHeftks0sxxLMpP1VOkX7xiDuDpQD+g1s/90TL+0k0ZiYrdyW5PctDqGTPR9VDbTXtUiPs1eN+iXLWeLkeuCf/jK10BkDYL0IIN9zRdSoCOTUNrx2S3Jd1L3KJqDc0ha4N9rEno1/DTq5U+fOmcLNKTlHvDH1Bv9N+6eiaxMSaKMhL1dNHnVR0sLx6rg8vcdKClI91Tx9r1LdZ0YArs7oN7Sl/TwVWqDua7DTI3qIOmuw40h/+BC8bqQNP2RO0eo9rp/aR3gAw/g3BG0liNaP1De1q4ogPlml46J4v8NDMF6WbdUXxu7WxSzXEsKUjT06F3XDEX8NZBnv65Gv50oN1zTHLTdoyqIe/HNHmjjWeag3N38lrgoS0WAbhivtJWH1/pCoA0h7/Ghw60AC+wUdIVSLi3zyLV0V+9yKUDTbc3q/01IdbEjMwkhBC6Di6bm016YhxJ8bH6mHX7ZbOIMQlmZCbpbaDpYErQVrqM9w9YD6xUf74WuNvHa74KlAAls2bNkkPWUfndjWWytmNQajT3DstvP3dU9gxZ9bLj53rl3S8dk6N2h162vaJV/v7tU9KdDQfr5dMH6jzK/m/7GbmjslX/3eFwyp+9ekKeaOqV/mjqGZbff6FMjtjsellpfbf8+asnpdPp1Mu2lDfLv7xT5fHev++tlS+UNHqU/fbNSrm3qkP/fdTukD/aVC6r2wf82nG2Y1D+aFO5R90P1naNqbsvHt1dI9883qL/7nQ65c9fPSkPne3SywYto/I7G496tMG5nmH5rQ1HPNrgWGOPzzZ4YOtpj+/ceLhBbjzU4Ncup1Npg4rmPr1syDoqv/d8mewYsPh979GGHnnf655t8EZ5s3xoV7XH69bvqZUverXBr9+olHvOuNrAOuqQd790TFa1udqgd8gmv7uxTPYO2fzasb+mc0wbvHzknHz8vbMeZQ/urJZbypv1351Op7z3lRNj2uC7G8tkXaerDZp6FB2426G0gWdf2HqyVf7eqw2eOVAvnz1Y71H2p+1n5Dun2vTfHQ7FDvc28MW5nmH5Py8ck5ZRlw5K6rrkL17zbIPXjzXLB3eObYOXSj3b4DdvVsr33HRgszvkDzeVy5oJdFDbMSjvedmz7vtrOsf0P1888m6NfPuEpw7ufeWELKkbqwP3NmjsHhrTBkcbxrbBtpOt8o/bznh858ZDDfL5w/51oLXBqZZ+Dzv++/ky2TmBDkrru+X9Wyo8yraUN8uH3/Vsg8f21MpNRzzb4P4tFR5tYB11yB+8eMxjLOoZsio6GPavg33VY9tg05FG+eS+sx5lf91ZJd887qmDn24+7tEGA2ob1HcO6WXnNB242VHW0CN/uKlc2h1K/wNK5AT+aaJ/Qk6QqxdC/AnYIKU8oKYrl0gp7x/v9atXr5YlJSVT4XsNDAwMDP5FEUKUSilXn89nBJK3KUVJSx4AVgJ+t9aXlpYOCiHOf/t96MkBQvfY4KklWupi1CP8iJa6REs9IHrqsvh8PyAQB7cZ2COEKAKuB9ZO8PrT5+t1wwEhREk01AOipy5GPcKPaKlLtNQDoqcuQojzTgVOeCdaStmPstDkAPB+KWVozykyMDAwMDAIgICWlkkpe3CtpDQwMDAwMAh7puMsykem4TNDQbTUA6KnLkY9wo9oqUu01AOipy7nXY8JV1EaGBgYGBhEImHzNAEDAwMDA4OpxHBwBgYGBgZRyaQdnBAiXwixx6tsvRBivxDix5MtCzVCiK8LIXap/8qEEA8LIWKFEA1u5SvU14ad/e5Mxu5wrosQIl0I8aYQYqsQ4mUhRHyktok3kWYvjNseEdcWvvpQpGlDw8e4tT7S2sTbl0yHH5mUgxNCZAJPAMluZWMOYw60bDLfPV1IKR+SUq6TUq4D9gCPAheinN6yTv13PFzt9yIguyOgLp8FHpBSXgu0Ah8hcttEJ9LsdcO7Pe4mMtvCow8BC4k8bQA+x62HiaA28fYl0+VHJjuDcwC3Ae7PKl/H2MOYAy0LG4QQxUC+lLIEZTP7x4QQh9RoIZYwt18lULt9lYUNUsoHpZTb1F9zgXYit03cWUdk2Qv4bA87kdkWHn0I+BARpg1vtHELWE1ktYm3L1nHNPgRvw5OKOk6bcq7C/i2j43eyUCT+nM3ysUOtCzoeNdJCPFT9U93AQ+pPx8GPiSlXAPEATcQJva746N9cgnM7rCqy3htIoS4HMiUUh4gQtpkAiLNXg+09gC2EZlt4d2HrifMtREA2rgVUfqQUvZ7+ZJp8SN+N3pLKf8zAFsHAe3hTCkoTjPQsqDjq05CCBPwfuAetahcSmlVfy5BSWWEhf3ueNdFCJEQoN1hVZdx2iQL+DNwi1oUEW0yAZFmr45Xe7RGaFt496GbCHNt+MNr3IqP0DbRmBY/MhUV1g5jBuUw5rpJlIULVwMHpWtT4FNCiJVCiBjgRuAY4W2/RqB2h3VdhBDxwAvAD6WU9WpxpLaJO5FmL+CzPSK1LbztvosI04YX7uNWpLaJxrT4kck9BdI3mxl7GLMMsCxcuA7Y7fb7L4BnUZ4L+KqUcrsQIo3wtV8jULvDuS0AvgxcAtwjhLgHJQUTqW3izmYiy14N7/bYCTxF5LWFRx8i8LErXHEftyJdH5uZBj8yJSeZqCtiPgzsllK2TqYskohU+6OxLTQirR6RZu9kiMS6RbM2ILLqMh1+xDiqy8DAwMAgKgnnm44GBgYGBgb/NIaDMzAwMDCISgwHZ2AQoQjlyKwvhNoOA4NwxXBwBv/yCOWsxXfUTeY3hdqeSXAHsFMI8bgQ4ioAIcSPhRB3hNQqA4MwYSq2CRgYRDorgX1SyrA7kHY8hBDJQLaUskEIEWpzDAzCEsPBGfxLI4T4FvBFIEOdBX0aZVPzYeBCKeV1Qogk4EkgDzgupbxLCJGDciaeCeVopHtQzsnbJaXc5TaLet7He3+mvudqIA3lMOle4HFghvrzrcAPgEop5XPqe05JKZ9TP/fLwN/91Ot24KuqfZdJKRP+6YtkYBChGClKg39ppJR/Ar4NPK6ewt6Bsnl0v5TyOvVlXwVOSCnfBxQKIS5Uyzapp7n3j/1kHV/vBViglm0CPqC+7piU8irgJWA5imO8XX39dcAroKRUUY5manP7nj+r55F+Wa3Xs6ptu4HvTfrCGBhEAcYMzsBgLCeklJvcfl8MXCGEWAdkAMXALGCj+vcyH5+RCIyM815QnBdAAxAPLEFxbKDM5JBSSiFEqvreE1LKEfXv/wGs9/q+b0gp9wrP52ZdD8yPpNSrgcFUYszgDAzGMuj1+2ngj+qM6McoTqkWWKH+fZX6vw3liQ6gpB3Hey/AkNd3nAIuVX/+EfAV9efnUFKRTwIIIXKBUSllj78KCCFmAz9BmRkaGPxLYjg4A4OJeRS4XgixG/ga0KiWfUIIsRPQ7m+9CnxDCPE3oMvPe8f7jkvUNOMlKGc9AryIcv7eXvX3rzB29uaLH6E429fU1aGLA6mogUE0YRzVZWBwnqgLQHZJKXdN8ecuA/4BPCylXK+W5Ukp26fyewwMohXDwRkYGBgYRCVGitLAwMDAICoxHJyBgYGBQVRiODgDAwMDg6jEcHAGBgYGBlGJ4eAMDAwMDKISw8EZGBgYGEQl/x8DYDY6xpSvtQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#导入使用的库\n",
    "import numpy as np;from math import *\n",
    "from scipy import fft\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def signfunc(f): #定义信号函数\n",
    "    f1 = 150;f2 = 325;f3 = 400\n",
    "    t = np.arange(-0.02,0.02,1/f)\n",
    "    return t,np.sin(2*pi*f1*t)+np.sin(2*pi*f2*t)+np.sin(2*pi*f3*t)\n",
    "\n",
    "#原始信号\n",
    "fa = 100000;ta,xa = signfunc(fa);N = len(xa)\n",
    "N0 = N*500\n",
    "He_a = np.abs(fft.fft(xa,N0));He_a = He_a/np.max(He_a) #原始信号的频谱\n",
    "freq_a = fft.fftfreq(N0,1/fa)\n",
    "He_a = fft.fftshift(He_a);freq_a = fft.fftshift(freq_a)\n",
    "\n",
    "def samp_spec(f_samp,f_anal,He,m): #定义采样后的频谱合成函数\n",
    "    N = len(He);M = int((f_samp*N/f_anal)*(m-1)+N) #合成频谱的长度\n",
    "    He_retn = np.append(He,np.zeros(M-N))\n",
    "    for i in range(m-1):\n",
    "        N_fron = int((f_samp*N/f_anal)*(i+1))\n",
    "        He_fron = np.zeros(N_fron)\n",
    "        He_midd = np.append(He_fron,He)\n",
    "        He_back = np.zeros(M-N_fron-N)\n",
    "        He_shift = np.append(He_midd,He_back)\n",
    "        He_retn = He_retn+He_shift\n",
    "    freq = fft.fftfreq(M,1/f_anal)\n",
    "    freq = fft.fftshift(freq)\n",
    "    return freq,He_retn\n",
    "\n",
    "#对原始信号进行采样\n",
    "fs1 = 680;fs2 = 900;fs3 = 1000;m = 5 #频谱搬移次数\n",
    "t1,x_hat1 = signfunc(fs1);t2,x_hat2 = signfunc(fs2);t3,x_hat3 = signfunc(fs3)\n",
    "freq1,He1 = samp_spec(fs1,fa,He_a,m);freq2,He2 = samp_spec(fs2,fa,He_a,m)\n",
    "freq3,He3 = samp_spec(fs3,fa,He_a,m)\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = 'SimHei'   #使图形中的中文正常编码显示\n",
    "plt.rcParams['axes.unicode_minus'] = False   #使坐标轴刻度表签正常显示正负号\n",
    "\n",
    "#绘制原信号及各采样信号的时域波形\n",
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(ta,xa);ax[1].stem(t1,x_hat1,basefmt=\"\")\n",
    "ax[2].stem(t2,x_hat2,basefmt=\"\");ax[3].stem(t3,x_hat3,basefmt=\"\")\n",
    "ax[0].set_ylim([-3,3]);ax[1].set_ylim([-3,3])\n",
    "ax[2].set_ylim([-3,3]);ax[3].set_ylim([-3,3])\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后时域波形')\n",
    "ax[3].set_xlabel('t/s')\n",
    "fig.savefig('./freq_samp1.png',dpi=500)\n",
    "\n",
    "#绘制原信号及各采样信号的幅度响应\n",
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(freq_a,He_a);ax[1].plot(freq1,He1)\n",
    "ax[2].plot(freq2,He2);ax[3].plot(freq3,He3)\n",
    "ax[0].set_xlim([-1000,1000]);ax[1].set_xlim([-1000,1000]);\n",
    "ax[2].set_xlim([-1000,1000]);ax[3].set_xlim([-1000,1000]);\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后频域波形')\n",
    "ax[3].set_xlabel('frequency/Hz')\n",
    "fig.savefig('./freq_samp2.png',dpi=500)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a9d8c04",
   "metadata": {},
   "source": [
    "可以看出，由于680Hz的采样频率不满足采样定理，采样后的信号频谱发生了混叠。"
   ]
  }
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